5x-14=8x+7

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Solution for 5x-14=8x+7 equation:


Simplifying
5x + -14 = 8x + 7

Reorder the terms:
-14 + 5x = 8x + 7

Reorder the terms:
-14 + 5x = 7 + 8x

Solving
-14 + 5x = 7 + 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 = 7 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-14 + -3x = 7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-14 + -3x = 7 + 0
-14 + -3x = 7

Add '14' to each side of the equation.
-14 + 14 + -3x = 7 + 14

Combine like terms: -14 + 14 = 0
0 + -3x = 7 + 14
-3x = 7 + 14

Combine like terms: 7 + 14 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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