7(x+6)=2(x+36)

Solution for 7(x+6)=2(x+36) equation:

Simplifying
7(x + 6) = 2(x + 36)

Reorder the terms:
7(6 + x) = 2(x + 36)
(6 * 7 + x * 7) = 2(x + 36)
(42 + 7x) = 2(x + 36)

Reorder the terms:
42 + 7x = 2(36 + x)
42 + 7x = (36 * 2 + x * 2)
42 + 7x = (72 + 2x)

Solving
42 + 7x = 72 + 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.
42 + 7x + -2x = 72 + 2x + -2x

Combine like terms: 7x + -2x = 5x
42 + 5x = 72 + 2x + -2x

Combine like terms: 2x + -2x = 0
42 + 5x = 72 + 0
42 + 5x = 72

Add '-42' to each side of the equation.
42 + -42 + 5x = 72 + -42

Combine like terms: 42 + -42 = 0
0 + 5x = 72 + -42
5x = 72 + -42

Combine like terms: 72 + -42 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6