2x+14=5x-15

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Solution for 2x+14=5x-15 equation:


Simplifying
2x + 14 = 5x + -15

Reorder the terms:
14 + 2x = 5x + -15

Reorder the terms:
14 + 2x = -15 + 5x

Solving
14 + 2x = -15 + 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.
14 + 2x + -5x = -15 + 5x + -5x

Combine like terms: 2x + -5x = -3x
14 + -3x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -3x = -15 + 0
14 + -3x = -15

Add '-14' to each side of the equation.
14 + -14 + -3x = -15 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = -15 + -14
-3x = -15 + -14

Combine like terms: -15 + -14 = -29
-3x = -29

Divide each side by '-3'.
x = 9.666666667

Simplifying
x = 9.666666667

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