5x+52=8x-14

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Solution for 5x+52=8x-14 equation:


Simplifying
5x + 52 = 8x + -14

Reorder the terms:
52 + 5x = 8x + -14

Reorder the terms:
52 + 5x = -14 + 8x

Solving
52 + 5x = -14 + 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.
52 + 5x + -8x = -14 + 8x + -8x

Combine like terms: 5x + -8x = -3x
52 + -3x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
52 + -3x = -14 + 0
52 + -3x = -14

Add '-52' to each side of the equation.
52 + -52 + -3x = -14 + -52

Combine like terms: 52 + -52 = 0
0 + -3x = -14 + -52
-3x = -14 + -52

Combine like terms: -14 + -52 = -66
-3x = -66

Divide each side by '-3'.
x = 22

Simplifying
x = 22

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