4(x+1)+2=5+2(x-1)

Solution for 4(x+1)+2=5+2(x-1) equation:

Simplifying
4(x + 1) + 2 = 5 + 2(x + -1)

Reorder the terms:
4(1 + x) + 2 = 5 + 2(x + -1)
(1 * 4 + x * 4) + 2 = 5 + 2(x + -1)
(4 + 4x) + 2 = 5 + 2(x + -1)

Reorder the terms:
4 + 2 + 4x = 5 + 2(x + -1)

Combine like terms: 4 + 2 = 6
6 + 4x = 5 + 2(x + -1)

Reorder the terms:
6 + 4x = 5 + 2(-1 + x)
6 + 4x = 5 + (-1 * 2 + x * 2)
6 + 4x = 5 + (-2 + 2x)

Combine like terms: 5 + -2 = 3
6 + 4x = 3 + 2x

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

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

Combine like terms: 2x + -2x = 0
6 + 2x = 3 + 0
6 + 2x = 3

Add '-6' to each side of the equation.
6 + -6 + 2x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 3 + -6
2x = 3 + -6

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

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5