3x+13=5x-3

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


Simplifying
3x + 13 = 5x + -3

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

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

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

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

Combine like terms: 5x + -5x = 0
13 + -2x = -3 + 0
13 + -2x = -3

Add '-13' to each side of the equation.
13 + -13 + -2x = -3 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = -3 + -13
-2x = -3 + -13

Combine like terms: -3 + -13 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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