2(3-2x)+10=5(x-3)-5

Solution for 2(3-2x)+10=5(x-3)-5 equation:

Simplifying
2(3 + -2x) + 10 = 5(x + -3) + -5
(3 * 2 + -2x * 2) + 10 = 5(x + -3) + -5
(6 + -4x) + 10 = 5(x + -3) + -5

Reorder the terms:
6 + 10 + -4x = 5(x + -3) + -5

Combine like terms: 6 + 10 = 16
16 + -4x = 5(x + -3) + -5

Reorder the terms:
16 + -4x = 5(-3 + x) + -5
16 + -4x = (-3 * 5 + x * 5) + -5
16 + -4x = (-15 + 5x) + -5

Reorder the terms:
16 + -4x = -15 + -5 + 5x

Combine like terms: -15 + -5 = -20
16 + -4x = -20 + 5x

Solving
16 + -4x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
16 + -4x + -5x = -20 + 5x + -5x

Combine like terms: -4x + -5x = -9x
16 + -9x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -9x = -20 + 0
16 + -9x = -20

Add '-16' to each side of the equation.
16 + -16 + -9x = -20 + -16

Combine like terms: 16 + -16 = 0
0 + -9x = -20 + -16
-9x = -20 + -16

Combine like terms: -20 + -16 = -36
-9x = -36

Divide each side by '-9'.
x = 4

Simplifying
x = 4