What is the solution to this equation 4x + 2 ( x + 6 ) = 36

The answer is A. x=4.

Start off by distributing the parentheses into the equation.

4x+2(x+6)=36

4x+2x+12=26

Combine like terms.

4x+2x=6x

6x+12=36

Now solve the equation as normal. Begin by subtracting 12 from both sides to isolate the variable.

6x+12=36

-12 -12

6x = 24

Divide 6 on both sides to find x.

6x=24

6 6

x=4

The solution to the equation is 4.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.