4x-9x+12=2x+33

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Solution for 4x-9x+12=2x+33 equation:


Simplifying
4x + -9x + 12 = 2x + 33

Reorder the terms:
12 + 4x + -9x = 2x + 33

Combine like terms: 4x + -9x = -5x
12 + -5x = 2x + 33

Reorder the terms:
12 + -5x = 33 + 2x

Solving
12 + -5x = 33 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
12 + -5x + -2x = 33 + 2x + -2x

Combine like terms: -5x + -2x = -7x
12 + -7x = 33 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -7x = 33 + 0
12 + -7x = 33

Add '-12' to each side of the equation.
12 + -12 + -7x = 33 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = 33 + -12
-7x = 33 + -12

Combine like terms: 33 + -12 = 21
-7x = 21

Divide each side by '-7'.
x = -3

Simplifying
x = -3

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