5x+13=3x-4

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Solution for 5x+13=3x-4 equation:


Simplifying
5x + 13 = 3x + -4

Reorder the terms:
13 + 5x = 3x + -4

Reorder the terms:
13 + 5x = -4 + 3x

Solving
13 + 5x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
13 + 5x + -3x = -4 + 3x + -3x

Combine like terms: 5x + -3x = 2x
13 + 2x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + 2x = -4 + 0
13 + 2x = -4

Add '-13' to each side of the equation.
13 + -13 + 2x = -4 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = -4 + -13
2x = -4 + -13

Combine like terms: -4 + -13 = -17
2x = -17

Divide each side by '2'.
x = -8.5

Simplifying
x = -8.5

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