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

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

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

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

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

Solving
4 + -2x = 3 + -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.
4 + -2x + 6x = 3 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
4 + 4x = 3 + 0
4 + 4x = 3

Add '-4' to each side of the equation.
4 + -4 + 4x = 3 + -4

Combine like terms: 4 + -4 = 0
0 + 4x = 3 + -4
4x = 3 + -4

Combine like terms: 3 + -4 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25