3(1-2x)-9=2(x+5)

Solution for 3(1-2x)-9=2(x+5) equation:

Simplifying
3(1 + -2x) + -9 = 2(x + 5)
(1 * 3 + -2x * 3) + -9 = 2(x + 5)
(3 + -6x) + -9 = 2(x + 5)

Reorder the terms:
3 + -9 + -6x = 2(x + 5)

Combine like terms: 3 + -9 = -6
-6 + -6x = 2(x + 5)

Reorder the terms:
-6 + -6x = 2(5 + x)
-6 + -6x = (5 * 2 + x * 2)
-6 + -6x = (10 + 2x)

Solving
-6 + -6x = 10 + 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.
-6 + -6x + -2x = 10 + 2x + -2x

Combine like terms: -6x + -2x = -8x
-6 + -8x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + -8x = 10 + 0
-6 + -8x = 10

Add '6' to each side of the equation.
-6 + 6 + -8x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = 10 + 6
-8x = 10 + 6

Combine like terms: 10 + 6 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2