5x+61=8x-14

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Solution for 5x+61=8x-14 equation:


Simplifying
5x + 61 = 8x + -14

Reorder the terms:
61 + 5x = 8x + -14

Reorder the terms:
61 + 5x = -14 + 8x

Solving
61 + 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.
61 + 5x + -8x = -14 + 8x + -8x

Combine like terms: 5x + -8x = -3x
61 + -3x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
61 + -3x = -14 + 0
61 + -3x = -14

Add '-61' to each side of the equation.
61 + -61 + -3x = -14 + -61

Combine like terms: 61 + -61 = 0
0 + -3x = -14 + -61
-3x = -14 + -61

Combine like terms: -14 + -61 = -75
-3x = -75

Divide each side by '-3'.
x = 25

Simplifying
x = 25

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