5x+35=12x-28

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Solution for 5x+35=12x-28 equation:


Simplifying
5x + 35 = 12x + -28

Reorder the terms:
35 + 5x = 12x + -28

Reorder the terms:
35 + 5x = -28 + 12x

Solving
35 + 5x = -28 + 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.
35 + 5x + -12x = -28 + 12x + -12x

Combine like terms: 5x + -12x = -7x
35 + -7x = -28 + 12x + -12x

Combine like terms: 12x + -12x = 0
35 + -7x = -28 + 0
35 + -7x = -28

Add '-35' to each side of the equation.
35 + -35 + -7x = -28 + -35

Combine like terms: 35 + -35 = 0
0 + -7x = -28 + -35
-7x = -28 + -35

Combine like terms: -28 + -35 = -63
-7x = -63

Divide each side by '-7'.
x = 9

Simplifying
x = 9

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