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

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

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

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

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

Reorder the terms:
4 + 2x = 6 + x

Solving
4 + 2x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + 2x + -1x = 6 + x + -1x

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

Combine like terms: x + -1x = 0
4 + 1x = 6 + 0
4 + 1x = 6

Add '-4' to each side of the equation.
4 + -4 + 1x = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 6 + -4
1x = 6 + -4

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

Divide each side by '1'.
x = 2

Simplifying
x = 2