x+33=4x-12

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


Simplifying
x + 33 = 4x + -12

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

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

Solving
33 + x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
33 + x + -4x = -12 + 4x + -4x

Combine like terms: x + -4x = -3x
33 + -3x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
33 + -3x = -12 + 0
33 + -3x = -12

Add '-33' to each side of the equation.
33 + -33 + -3x = -12 + -33

Combine like terms: 33 + -33 = 0
0 + -3x = -12 + -33
-3x = -12 + -33

Combine like terms: -12 + -33 = -45
-3x = -45

Divide each side by '-3'.
x = 15

Simplifying
x = 15

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