-4x+33=x-2

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


Simplifying
-4x + 33 = x + -2

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

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

Solving
33 + -4x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
33 + -4x + -1x = -2 + x + -1x

Combine like terms: -4x + -1x = -5x
33 + -5x = -2 + x + -1x

Combine like terms: x + -1x = 0
33 + -5x = -2 + 0
33 + -5x = -2

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

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

Combine like terms: -2 + -33 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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