5x+56=12x-42

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Solution for 5x+56=12x-42 equation:


Simplifying
5x + 56 = 12x + -42

Reorder the terms:
56 + 5x = 12x + -42

Reorder the terms:
56 + 5x = -42 + 12x

Solving
56 + 5x = -42 + 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.
56 + 5x + -12x = -42 + 12x + -12x

Combine like terms: 5x + -12x = -7x
56 + -7x = -42 + 12x + -12x

Combine like terms: 12x + -12x = 0
56 + -7x = -42 + 0
56 + -7x = -42

Add '-56' to each side of the equation.
56 + -56 + -7x = -42 + -56

Combine like terms: 56 + -56 = 0
0 + -7x = -42 + -56
-7x = -42 + -56

Combine like terms: -42 + -56 = -98
-7x = -98

Divide each side by '-7'.
x = 14

Simplifying
x = 14

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