3x+59=8x-11

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Solution for 3x+59=8x-11 equation:


Simplifying
3x + 59 = 8x + -11

Reorder the terms:
59 + 3x = 8x + -11

Reorder the terms:
59 + 3x = -11 + 8x

Solving
59 + 3x = -11 + 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 + 3x + -8x = -11 + 8x + -8x

Combine like terms: 3x + -8x = -5x
59 + -5x = -11 + 8x + -8x

Combine like terms: 8x + -8x = 0
59 + -5x = -11 + 0
59 + -5x = -11

Add '-59' to each side of the equation.
59 + -59 + -5x = -11 + -59

Combine like terms: 59 + -59 = 0
0 + -5x = -11 + -59
-5x = -11 + -59

Combine like terms: -11 + -59 = -70
-5x = -70

Divide each side by '-5'.
x = 14

Simplifying
x = 14

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