6-3(2x-4x)=2(1+x)

Solution for 6-3(2x-4x)=2(1+x) equation:

Simplifying
6 + -3(2x + -4x) = 2(1 + x)

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

Remove parenthesis around (-2x)
6 + -3 * -2x = 2(1 + x)

Multiply -3 * -2
6 + 6x = 2(1 + x)
6 + 6x = (1 * 2 + x * 2)
6 + 6x = (2 + 2x)

Solving
6 + 6x = 2 + 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 = 2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
6 + 4x = 2 + 0
6 + 4x = 2

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

Combine like terms: 6 + -6 = 0
0 + 4x = 2 + -6
4x = 2 + -6

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

Divide each side by '4'.
x = -1

Simplifying
x = -1