Can someone please explain how to solve the following? 7(a - 2) = 2a + 8 + a

9 Answers | Add Yours

flbyrne's profile pic

flbyrne | (Level 3) Assistant Educator

Posted on

Multiply 7 by (a-2)

7a-14=2a+8+a

Simplify the right side

7a-14=3a+8

Subtract 3a to both sides

7a-3a-14=8

Add 14 to both sides

4a=8+14

4a=22

Divide both sides by 4

`a=22/4=5.5`

Verification:

7(5.5-2)=2(5.5)+8+5.5

7(3.5)=11+8+5.5

24.5=24.5

sweety11111's profile pic

sweety11111 | Student, Undergraduate | (Level 1) eNoter

Posted on

Q.  7(a - 2) = 2a + 8 + a

multiply 7 to a and 2,another side add  2a+a

7a-14=3a+8

7a-3a=14+8

4a=22

take 4 to another side

a=22/4 or 5.5 ans........

tonys538's profile pic

tonys538 | Student, Undergraduate | (Level 1) Valedictorian

Posted on

The equation 7(a - 2) = 2a + 8 + a has to be solved for a.

7(a - 2) = 2a + 8 + a

Simplify the two sides

7(a - 2) = 2a + 8 + a

Opening the brackets on the left hand side gives 7*a - 7*2 = 7a - 14

Adding similar terms on the right hand side gives 2a + a + 8 = 3a + 8

Equating the two 7a - 14 = 3a + 8

Subtract 3a - 14 from both the sides

7a - 14 - 3a + 14 = 3a + 8 - 3a + 14

4a = 22

Divide the two sides by 4

a = 22/4 = 11/2 = 5.5

jess1999's profile pic

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

Posted on

7(a - 2) = 2a + 8 + a

First distribute

By distributing, your equation should look like

7a - 14 = 2a + 8 + a now combine the like terms ( 2a and a )

By combining the like terms, your equation should look like

7a - 14 = 3a + 8 now subtract 3a on both sides

By subtracting, your equation should look like

4a - 14 = 8 now add 14 on both sides

By adding, your equation should look like

4a = 22 now divide both sides by 4

By dividing, your equation should look like

a = 22/4  simplify

a = 5.5 which is your answer

nisarg's profile pic

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

Posted on

7(a - 2) = 2a + 8 + a

7a-14=2a+8+a      multiply by 7

7a-14=3a+8          add a's together

4a-14=8                subtract 3a from both sides

4a=22                   add 14 to both sides

a=22/4

a=5 1/2

atyourservice's profile pic

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

Posted on

7(a - 2) = 2a + 8 + a

the first step is to distibute the 7 in front of the parentheses:

7a - 14 =2a + 8 + a

move the like terms to the same side:

-14 - 8 = 2a + a - 7a

combine the terms

-22 = 3a - 7a

-22 = -4a

divide by -4 since we are trying to solve for a

-22/-4 = -4a/-4

(remember the negatives cancel out)

5.5 = a

levvy's profile pic

levvy | (Level 1) eNoter

Posted on

First figure out the numbers on the leaft side

7(a-2)=7a-14 

mutiply 7 to a and -2  

and you get 

7a-14=2a+8+a

then move all the unknow values a to the same side

7a-2a-a=14+8

5a-a=22

4a=22

then divide 4 by both sides gives

a=22/4=11/2 or 5.5

We’ve answered 318,911 questions. We can answer yours, too.

Ask a question