3(x-6)+2x=5(x+3)-33

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Solution for 3(x-6)+2x=5(x+3)-33 equation: 


Simplifying
3(x + -6) + 2x = 5(x + 3) + -33

Reorder the terms:
3(-6 + x) + 2x = 5(x + 3) + -33
(-6 * 3 + x * 3) + 2x = 5(x + 3) + -33
(-18 + 3x) + 2x = 5(x + 3) + -33

Combine like terms: 3x + 2x = 5x
-18 + 5x = 5(x + 3) + -33

Reorder the terms:
-18 + 5x = 5(3 + x) + -33
-18 + 5x = (3 * 5 + x * 5) + -33
-18 + 5x = (15 + 5x) + -33

Reorder the terms:
-18 + 5x = 15 + -33 + 5x

Combine like terms: 15 + -33 = -18
-18 + 5x = -18 + 5x

Add '18' to each side of the equation.
-18 + 18 + 5x = -18 + 18 + 5x

Combine like terms: -18 + 18 = 0
0 + 5x = -18 + 18 + 5x
5x = -18 + 18 + 5x

Combine like terms: -18 + 18 = 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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