4(x-1)=6-2x

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

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

Reorder the terms:
4(-1 + x) = 6 + -2x
(-1 * 4 + x * 4) = 6 + -2x
(-4 + 4x) = 6 + -2x

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

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

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

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

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

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

Divide each side by '6'.
x = 1.666666667

Simplifying
x = 1.666666667