4x-9x+5=2x+33

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Solution for 4x-9x+5=2x+33 equation:


Simplifying
4x + -9x + 5 = 2x + 33

Reorder the terms:
5 + 4x + -9x = 2x + 33

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

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

Solving
5 + -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.
5 + -5x + -2x = 33 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
5 + -7x = 33 + 0
5 + -7x = 33

Add '-5' to each side of the equation.
5 + -5 + -7x = 33 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 33 + -5
-7x = 33 + -5

Combine like terms: 33 + -5 = 28
-7x = 28

Divide each side by '-7'.
x = -4

Simplifying
x = -4

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