5x+33=12x-37

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Solution for 5x+33=12x-37 equation:


Simplifying
5x + 33 = 12x + -37

Reorder the terms:
33 + 5x = 12x + -37

Reorder the terms:
33 + 5x = -37 + 12x

Solving
33 + 5x = -37 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
33 + 5x + -12x = -37 + 12x + -12x

Combine like terms: 5x + -12x = -7x
33 + -7x = -37 + 12x + -12x

Combine like terms: 12x + -12x = 0
33 + -7x = -37 + 0
33 + -7x = -37

Add '-33' to each side of the equation.
33 + -33 + -7x = -37 + -33

Combine like terms: 33 + -33 = 0
0 + -7x = -37 + -33
-7x = -37 + -33

Combine like terms: -37 + -33 = -70
-7x = -70

Divide each side by '-7'.
x = 10

Simplifying
x = 10

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