3x+35=13x-75

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Solution for 3x+35=13x-75 equation:


Simplifying
3x + 35 = 13x + -75

Reorder the terms:
35 + 3x = 13x + -75

Reorder the terms:
35 + 3x = -75 + 13x

Solving
35 + 3x = -75 + 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 = -75 + 13x + -13x

Combine like terms: 3x + -13x = -10x
35 + -10x = -75 + 13x + -13x

Combine like terms: 13x + -13x = 0
35 + -10x = -75 + 0
35 + -10x = -75

Add '-35' to each side of the equation.
35 + -35 + -10x = -75 + -35

Combine like terms: 35 + -35 = 0
0 + -10x = -75 + -35
-10x = -75 + -35

Combine like terms: -75 + -35 = -110
-10x = -110

Divide each side by '-10'.
x = 11

Simplifying
x = 11

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