-7x-42=-12x+33

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Solution for -7x-42=-12x+33 equation:


Simplifying
-7x + -42 = -12x + 33

Reorder the terms:
-42 + -7x = -12x + 33

Reorder the terms:
-42 + -7x = 33 + -12x

Solving
-42 + -7x = 33 + -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.
-42 + -7x + 12x = 33 + -12x + 12x

Combine like terms: -7x + 12x = 5x
-42 + 5x = 33 + -12x + 12x

Combine like terms: -12x + 12x = 0
-42 + 5x = 33 + 0
-42 + 5x = 33

Add '42' to each side of the equation.
-42 + 42 + 5x = 33 + 42

Combine like terms: -42 + 42 = 0
0 + 5x = 33 + 42
5x = 33 + 42

Combine like terms: 33 + 42 = 75
5x = 75

Divide each side by '5'.
x = 15

Simplifying
x = 15

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