6-2x=15-5(3+2x)

Solution for 6-2x=15-5(3+2x) equation:

Simplifying
6 + -2x = 15 + -5(3 + 2x)
6 + -2x = 15 + (3 * -5 + 2x * -5)
6 + -2x = 15 + (-15 + -10x)

Combine like terms: 15 + -15 = 0
6 + -2x = 0 + -10x
6 + -2x = -10x

Solving
6 + -2x = -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
6 + -2x + 10x = -10x + 10x

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

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

Add '-6' to each side of the equation.
6 + -6 + 8x = 0 + -6

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

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

Divide each side by '8'.
x = -0.75

Simplifying
x = -0.75