3(2x-7)-(x+12)=5x-33

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Solution for 3(2x-7)-(x+12)=5x-33 equation: 


Simplifying
3(2x + -7) + -1(x + 12) = 5x + -33

Reorder the terms:
3(-7 + 2x) + -1(x + 12) = 5x + -33
(-7 * 3 + 2x * 3) + -1(x + 12) = 5x + -33
(-21 + 6x) + -1(x + 12) = 5x + -33

Reorder the terms:
-21 + 6x + -1(12 + x) = 5x + -33
-21 + 6x + (12 * -1 + x * -1) = 5x + -33
-21 + 6x + (-12 + -1x) = 5x + -33

Reorder the terms:
-21 + -12 + 6x + -1x = 5x + -33

Combine like terms: -21 + -12 = -33
-33 + 6x + -1x = 5x + -33

Combine like terms: 6x + -1x = 5x
-33 + 5x = 5x + -33

Reorder the terms:
-33 + 5x = -33 + 5x

Add '33' to each side of the equation.
-33 + 33 + 5x = -33 + 33 + 5x

Combine like terms: -33 + 33 = 0
0 + 5x = -33 + 33 + 5x
5x = -33 + 33 + 5x

Combine like terms: -33 + 33 = 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.

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