3x+5=5x-13

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


Simplifying
3x + 5 = 5x + -13

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

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

Solving
5 + 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.
5 + 3x + -5x = -13 + 5x + -5x

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

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

Add '-5' to each side of the equation.
5 + -5 + -2x = -13 + -5

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

Combine like terms: -13 + -5 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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