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

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

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

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

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

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

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

Reorder the terms:
-6 + 5x = 5(-2 + x) + 4
-6 + 5x = (-2 * 5 + x * 5) + 4
-6 + 5x = (-10 + 5x) + 4

Reorder the terms:
-6 + 5x = -10 + 4 + 5x

Combine like terms: -10 + 4 = -6
-6 + 5x = -6 + 5x

Add '6' to each side of the equation.
-6 + 6 + 5x = -6 + 6 + 5x

Combine like terms: -6 + 6 = 0
0 + 5x = -6 + 6 + 5x
5x = -6 + 6 + 5x

Combine like terms: -6 + 6 = 0
5x = 0 + 5x
5x = 5x

Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.