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

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

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

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

Reorder the terms:
-6 + -2x = 2x + -2 + 2(3 + 5x)
-6 + -2x = 2x + -2 + (3 * 2 + 5x * 2)
-6 + -2x = 2x + -2 + (6 + 10x)

Reorder the terms:
-6 + -2x = -2 + 6 + 2x + 10x

Combine like terms: -2 + 6 = 4
-6 + -2x = 4 + 2x + 10x

Combine like terms: 2x + 10x = 12x
-6 + -2x = 4 + 12x

Solving
-6 + -2x = 4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-6 + -2x + -12x = 4 + 12x + -12x

Combine like terms: -2x + -12x = -14x
-6 + -14x = 4 + 12x + -12x

Combine like terms: 12x + -12x = 0
-6 + -14x = 4 + 0
-6 + -14x = 4

Add '6' to each side of the equation.
-6 + 6 + -14x = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -14x = 4 + 6
-14x = 4 + 6

Combine like terms: 4 + 6 = 10
-14x = 10

Divide each side by '-14'.
x = -0.7142857143

Simplifying
x = -0.7142857143