5x+35=12x-21

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Solution for 5x+35=12x-21 equation:


Simplifying
5x + 35 = 12x + -21

Reorder the terms:
35 + 5x = 12x + -21

Reorder the terms:
35 + 5x = -21 + 12x

Solving
35 + 5x = -21 + 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 = -21 + 12x + -12x

Combine like terms: 5x + -12x = -7x
35 + -7x = -21 + 12x + -12x

Combine like terms: 12x + -12x = 0
35 + -7x = -21 + 0
35 + -7x = -21

Add '-35' to each side of the equation.
35 + -35 + -7x = -21 + -35

Combine like terms: 35 + -35 = 0
0 + -7x = -21 + -35
-7x = -21 + -35

Combine like terms: -21 + -35 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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