2(x-4)+2=5x-3(2+x)

Solution for 2(x-4)+2=5x-3(2+x) equation:

Simplifying
2(x + -4) + 2 = 5x + -3(2 + x)

Reorder the terms:
2(-4 + x) + 2 = 5x + -3(2 + x)
(-4 * 2 + x * 2) + 2 = 5x + -3(2 + x)
(-8 + 2x) + 2 = 5x + -3(2 + x)

Reorder the terms:
-8 + 2 + 2x = 5x + -3(2 + x)

Combine like terms: -8 + 2 = -6
-6 + 2x = 5x + -3(2 + x)
-6 + 2x = 5x + (2 * -3 + x * -3)
-6 + 2x = 5x + (-6 + -3x)

Reorder the terms:
-6 + 2x = -6 + 5x + -3x

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

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