2x-6(x-1)=13-3(1-2x)

Solution for 2x-6(x-1)=13-3(1-2x) equation:

Simplifying
2x + -6(x + -1) = 13 + -3(1 + -2x)

Reorder the terms:
2x + -6(-1 + x) = 13 + -3(1 + -2x)
2x + (-1 * -6 + x * -6) = 13 + -3(1 + -2x)
2x + (6 + -6x) = 13 + -3(1 + -2x)

Reorder the terms:
6 + 2x + -6x = 13 + -3(1 + -2x)

Combine like terms: 2x + -6x = -4x
6 + -4x = 13 + -3(1 + -2x)
6 + -4x = 13 + (1 * -3 + -2x * -3)
6 + -4x = 13 + (-3 + 6x)

Combine like terms: 13 + -3 = 10
6 + -4x = 10 + 6x

Solving
6 + -4x = 10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + -4x + -6x = 10 + 6x + -6x

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

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

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

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

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

Divide each side by '-10'.
x = -0.4

Simplifying
x = -0.4