-2(x + 5 × 7 + 3)

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neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on

Simplfy -2(x + 5 × 7 + 3).

Or Simplify -2(x+5*7+3) . The editted form is due to me please.

To simplify we apply the BODMAS( Bracket, Order(means degree or exponent), Division or Multiplication with equal prioriy, Addtion or Subtraction with equal priority), the rule of priority  here.

In the given problem, Bracket is first.Inside the bracket Multiplication is first:

So, in the expression,-2(x+5*7+3), take the bracket first. And in the bracket ,inside, Multiplication  of 5*7 is first:

-2(x+35+3).

Simplify inside the bracket: 35+3 =38:

-2(x+38).

Multiply by -2 of outside the bracket each of the terms  inside the bracket. This is to say to distribute the operation of mutiplication over the two terms inside the bracket, keeping in mind the rule of sign of two terms with different sign(+or-) in multiplication  returning a negative product.

-2x-76 and this is the final simplest form.

Hope this would help.

malkaam's profile pic

malkaam | Student, Undergraduate | (Level 1) Valedictorian

Posted on

-2(x + 5 × 7 + 3)

This should to be simplified by following BODMAS (Brackets Of Division Multiplication Addition Subtraction) also known as PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)

-2(x + 5 × 7 + 3)      (first step multiply inside the brackets)

-2(x+35+3)              (2nd step addition inside the brackets)

-2(x+38)                  (3rd step remove brackets by multiplying -2 with x and 38)

-2x-76 Answer.

ik9744's profile pic

ik9744 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

-2(x + 5 × 7 + 3) Equation

-2(x + 35 + 3) Work inside the parenthesis following PEMDAS
 
-2x - 70 -6 Continue: -70-6
 
-2x - 76 Answer
nisarg's profile pic

nisarg | Student, Grade 11 | (Level 1) Valedictorian

Posted on

-2(x + 5 × 7 + 3)

-2(x+35+3)      multiply 5*7

-2x-70-6             multiply but -2

-2x-76                subtract 6

jess1999's profile pic

jess1999 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

-2(x + 5 × 7 + 3)

To simplify this equation first complete steps in the within the parenthesis. By following PEMDAS you would know to multiply the 5 and 7 first which gives you 35. Now the equation would be

-2 ( x + 35 + 3 ) Now add the numbers within the parenthesis.

By adding the numbers you'll get

-2 ( x + 38 ) Now distribute the -2 Which gives you

-2x - 76 which is your answer

Wiggin42's profile pic

Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

Posted on

-2(x + 5 × 7 + 3)

Follow the order of operations; Please Excuse My Dear Aunt Sally (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction) 

Let's do what's in parenthesis first. Within the parenthesis, we want to do the multiplication first and then the addition as per the rule : 

-2 (x + 35 + 3)

-2(x + 38) 

Now we can distribute the -2. (Actually, we could have done this at any step but its easier to do it last since you have fewer terms to worry about : 

-2x - 76

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

-2(x + 5 × 7 + 3)

Follow PEMDAS

Look inside the parenthesis, not do the multiplication first:

-2 ( x + 35 + 3)

combine like therms

-2 ( x + 38)

just distribute the -2 to every number inside of the parenthesis
 
-2 x X = -2x
-2 x 38 = -76
 
the answer is -2x - 76
 

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