5x-14=8x+15

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Solution for 5x-14=8x+15 equation:


Simplifying
5x + -14 = 8x + 15

Reorder the terms:
-14 + 5x = 8x + 15

Reorder the terms:
-14 + 5x = 15 + 8x

Solving
-14 + 5x = 15 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-14 + 5x + -8x = 15 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-14 + -3x = 15 + 8x + -8x

Combine like terms: 8x + -8x = 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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