10(x+2)=-2(6+-9x)

Solution for 10(x+2)=-2(6+-9x) equation:

Simplifying
10(x + 2) = -2(6 + -9x)

Reorder the terms:
10(2 + x) = -2(6 + -9x)
(2 * 10 + x * 10) = -2(6 + -9x)
(20 + 10x) = -2(6 + -9x)
20 + 10x = (6 * -2 + -9x * -2)
20 + 10x = (-12 + 18x)

Solving
20 + 10x = -12 + 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.
20 + 10x + -18x = -12 + 18x + -18x

Combine like terms: 10x + -18x = -8x
20 + -8x = -12 + 18x + -18x

Combine like terms: 18x + -18x = 0
20 + -8x = -12 + 0
20 + -8x = -12

Add '-20' to each side of the equation.
20 + -20 + -8x = -12 + -20

Combine like terms: 20 + -20 = 0
0 + -8x = -12 + -20
-8x = -12 + -20

Combine like terms: -12 + -20 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4