x*3+35=x*5-13

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Solution for x*3+35=x*5-13 equation: 


Simplifying
x * 3 + 35 = x * 5 + -13

Reorder the terms for easier multiplication:
3x + 35 = x * 5 + -13

Reorder the terms:
35 + 3x = x * 5 + -13

Reorder the terms for easier multiplication:
35 + 3x = 5x + -13

Reorder the terms:
35 + 3x = -13 + 5x

Solving
35 + 3x = -13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
35 + 3x + -5x = -13 + 5x + -5x

Combine like terms: 3x + -5x = -2x
35 + -2x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
35 + -2x = -13 + 0
35 + -2x = -13

Add '-35' to each side of the equation.
35 + -35 + -2x = -13 + -35

Combine like terms: 35 + -35 = 0
0 + -2x = -13 + -35
-2x = -13 + -35

Combine like terms: -13 + -35 = -48
-2x = -48

Divide each side by '-2'.
x = 24

Simplifying
x = 24

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