2(4x-1)=5x+1+3(x-1)

Solution for 2(4x-1)=5x+1+3(x-1) equation:

Simplifying
2(4x + -1) = 5x + 1 + 3(x + -1)

Reorder the terms:
2(-1 + 4x) = 5x + 1 + 3(x + -1)
(-1 * 2 + 4x * 2) = 5x + 1 + 3(x + -1)
(-2 + 8x) = 5x + 1 + 3(x + -1)

Reorder the terms:
-2 + 8x = 5x + 1 + 3(-1 + x)
-2 + 8x = 5x + 1 + (-1 * 3 + x * 3)
-2 + 8x = 5x + 1 + (-3 + 3x)

Reorder the terms:
-2 + 8x = 1 + -3 + 5x + 3x

Combine like terms: 1 + -3 = -2
-2 + 8x = -2 + 5x + 3x

Combine like terms: 5x + 3x = 8x
-2 + 8x = -2 + 8x

Add '2' to each side of the equation.
-2 + 2 + 8x = -2 + 2 + 8x

Combine like terms: -2 + 2 = 0
0 + 8x = -2 + 2 + 8x
8x = -2 + 2 + 8x

Combine like terms: -2 + 2 = 0
8x = 0 + 8x
8x = 8x

Add '-8x' to each side of the equation.
8x + -8x = 8x + -8x

Combine like terms: 8x + -8x = 0
0 = 8x + -8x

Combine like terms: 8x + -8x = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

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