3(x-4)+17=8x-5(x-1)

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Solution for 3(x-4)+17=8x-5(x-1) equation: 


Simplifying
3(x + -4) + 17 = 8x + -5(x + -1)

Reorder the terms:
3(-4 + x) + 17 = 8x + -5(x + -1)
(-4 * 3 + x * 3) + 17 = 8x + -5(x + -1)
(-12 + 3x) + 17 = 8x + -5(x + -1)

Reorder the terms:
-12 + 17 + 3x = 8x + -5(x + -1)

Combine like terms: -12 + 17 = 5
5 + 3x = 8x + -5(x + -1)

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

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

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 5 + -5 + 3x

Combine like terms: 5 + -5 = 0
0 + 3x = 5 + -5 + 3x
3x = 5 + -5 + 3x

Combine like terms: 5 + -5 = 0
3x = 0 + 3x
3x = 3x

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

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

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