Since `x` is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.

`5x+8x=24x+11 `

Since `5x` and `8x` are like terms, add `8x` to `5x` to get `13x` .

`13x=24x+11`

Move all terms not containing `x` to the right-hand side of the equation.

`-11x=11 `

Divide each term in the equation by `-11` .

`x=-1 `

To solve 24x+11 = 5x+8x arrange all like terms:

`therefore 24x+11 = 13x`

`therefore 24x-13x= -11`

(Take care with symbols when rearranging)

`therefore 11x=-11`

`therefore (11x)/11= -11/11`

`therefore x=-1`

**Ans: from the equation 24x+11=5x+8x x=-1**

QUESTION:-

Solve for x: 24x + 11 = 5x + 8x

SOLUTION:-

24x + 11 = 5x + 8x

Solving for the value of x;

Bring 24x to RHS with all the 'x' values by changing its sign;

11 = 5x + 8x - 24x

11 = 13x - 24x

11 = -11x

Now divide by -11 both sides;

11/(-11) = -11x/(-11)

-1 = x

Therefore;

x = -1 is the answer.

The answer can be rechecked by inserting the value of x in the problem;

**Solve for x: 24x + 11 = 5x + 8x **

Hence;

24 (-1) + 11 = 5 (-1) + 8(-1)

-24 + 11 = -5 -8

-13 = -13

LHS = RHS

Hence proved!

24x + 11 = 5x + 8x

To find the value of the variable x, we need to isolate the unknown variable,

24x + 11 = 5x + 8x

24x + 11 - 11 = 13x - 11

24x - 13x = 13x - 11 - 13x Subtract 13x from both sides

11x = -11

11x/11 = -11/11 Divide both sides by 11

**x = -1 Answer.**

Now input the value in the equation to verify the answer,

24x + 11 = 5x + 8x

24(-1) + 11 = 5(-1) + 8(-1)

-24 + 11 = -5 -8

-13 = -13

LHS=RHS

proved.

Since you are solving for x always separate the variable

24x + 11 = 5x + 8x

24x + 11 = 5x + 8x

First combine the like terms ( 5x and 8x )

By combining the like terms, your equation should look like

**24x + 11 = 13x **now subtract 11 on both sides

By subtracting , your equation should look like

**24x = 13x - 11 **now subtract 13x on both sides

By subtracting, your equation should look like

**11x = -11 **now divide 11 on both sides

By dividing your answer should be

**x = -1** which is your answer

24x + 11 = 5x + 8x

24x+11=13x add x's together

11x+11=0 subtract 13x from both sides

11x=-11 subtract 11 from both sides

x=-1 divide both sides by 11

24x + 11 = 5x + 8x

combine the like terms:

24x + 11 = 13x

subtract 24x from both sides:

11 = 13x- 24x

combine like terms once again:

11 = -11x

divide by -11 since we are solving for x

11/-11 = -11x/-11

-1 = x