2x+35=12x-45

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Solution for 2x+35=12x-45 equation:


Simplifying
2x + 35 = 12x + -45

Reorder the terms:
35 + 2x = 12x + -45

Reorder the terms:
35 + 2x = -45 + 12x

Solving
35 + 2x = -45 + 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 + 2x + -12x = -45 + 12x + -12x

Combine like terms: 2x + -12x = -10x
35 + -10x = -45 + 12x + -12x

Combine like terms: 12x + -12x = 0
35 + -10x = -45 + 0
35 + -10x = -45

Add '-35' to each side of the equation.
35 + -35 + -10x = -45 + -35

Combine like terms: 35 + -35 = 0
0 + -10x = -45 + -35
-10x = -45 + -35

Combine like terms: -45 + -35 = -80
-10x = -80

Divide each side by '-10'.
x = 8

Simplifying
x = 8

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