5x+28=12x-42

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Solution for 5x+28=12x-42 equation:


Simplifying
5x + 28 = 12x + -42

Reorder the terms:
28 + 5x = 12x + -42

Reorder the terms:
28 + 5x = -42 + 12x

Solving
28 + 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.
28 + 5x + -12x = -42 + 12x + -12x

Combine like terms: 5x + -12x = -7x
28 + -7x = -42 + 12x + -12x

Combine like terms: 12x + -12x = 0
28 + -7x = -42 + 0
28 + -7x = -42

Add '-28' to each side of the equation.
28 + -28 + -7x = -42 + -28

Combine like terms: 28 + -28 = 0
0 + -7x = -42 + -28
-7x = -42 + -28

Combine like terms: -42 + -28 = -70
-7x = -70

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

Simplifying
x = 10

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