5x+59=8x-7

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Solution for 5x+59=8x-7 equation:


Simplifying
5x + 59 = 8x + -7

Reorder the terms:
59 + 5x = 8x + -7

Reorder the terms:
59 + 5x = -7 + 8x

Solving
59 + 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.
59 + 5x + -8x = -7 + 8x + -8x

Combine like terms: 5x + -8x = -3x
59 + -3x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
59 + -3x = -7 + 0
59 + -3x = -7

Add '-59' to each side of the equation.
59 + -59 + -3x = -7 + -59

Combine like terms: 59 + -59 = 0
0 + -3x = -7 + -59
-3x = -7 + -59

Combine like terms: -7 + -59 = -66
-3x = -66

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

Simplifying
x = 22

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