3x+35=13x-45

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Solution for 3x+35=13x-45 equation: 


Simplifying
3x + 35 = 13x + -45

Reorder the terms:
35 + 3x = 13x + -45

Reorder the terms:
35 + 3x = -45 + 13x

Solving
35 + 3x = -45 + 13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13x' to each side of the equation.
35 + 3x + -13x = -45 + 13x + -13x

Combine like terms: 3x + -13x = -10x
35 + -10x = -45 + 13x + -13x

Combine like terms: 13x + -13x = 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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