5x+14=3x-13

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Solution for 5x+14=3x-13 equation:


Simplifying
5x + 14 = 3x + -13

Reorder the terms:
14 + 5x = 3x + -13

Reorder the terms:
14 + 5x = -13 + 3x

Solving
14 + 5x = -13 + 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.
14 + 5x + -3x = -13 + 3x + -3x

Combine like terms: 5x + -3x = 2x
14 + 2x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + 2x = -13 + 0
14 + 2x = -13

Add '-14' to each side of the equation.
14 + -14 + 2x = -13 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = -13 + -14
2x = -13 + -14

Combine like terms: -13 + -14 = -27
2x = -27

Divide each side by '2'.
x = -13.5

Simplifying
x = -13.5

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