5x+21=13x-59

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Solution for 5x+21=13x-59 equation:


Simplifying
5x + 21 = 13x + -59

Reorder the terms:
21 + 5x = 13x + -59

Reorder the terms:
21 + 5x = -59 + 13x

Solving
21 + 5x = -59 + 13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13x' to each side of the equation.
21 + 5x + -13x = -59 + 13x + -13x

Combine like terms: 5x + -13x = -8x
21 + -8x = -59 + 13x + -13x

Combine like terms: 13x + -13x = 0
21 + -8x = -59 + 0
21 + -8x = -59

Add '-21' to each side of the equation.
21 + -21 + -8x = -59 + -21

Combine like terms: 21 + -21 = 0
0 + -8x = -59 + -21
-8x = -59 + -21

Combine like terms: -59 + -21 = -80
-8x = -80

Divide each side by '-8'.
x = 10

Simplifying
x = 10

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