6(x+7)=15-9(1-2x)

Solution for 6(x+7)=15-9(1-2x) equation:

Simplifying
6(x + 7) = 15 + -9(1 + -2x)

Reorder the terms:
6(7 + x) = 15 + -9(1 + -2x)
(7 * 6 + x * 6) = 15 + -9(1 + -2x)
(42 + 6x) = 15 + -9(1 + -2x)
42 + 6x = 15 + (1 * -9 + -2x * -9)
42 + 6x = 15 + (-9 + 18x)

Combine like terms: 15 + -9 = 6
42 + 6x = 6 + 18x

Solving
42 + 6x = 6 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
42 + 6x + -18x = 6 + 18x + -18x

Combine like terms: 6x + -18x = -12x
42 + -12x = 6 + 18x + -18x

Combine like terms: 18x + -18x = 0
42 + -12x = 6 + 0
42 + -12x = 6

Add '-42' to each side of the equation.
42 + -42 + -12x = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -12x = 6 + -42
-12x = 6 + -42

Combine like terms: 6 + -42 = -36
-12x = -36

Divide each side by '-12'.
x = 3

Simplifying
x = 3