5x+6=13x-56

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Solution for 5x+6=13x-56 equation:


Simplifying
5x + 6 = 13x + -56

Reorder the terms:
6 + 5x = 13x + -56

Reorder the terms:
6 + 5x = -56 + 13x

Solving
6 + 5x = -56 + 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.
6 + 5x + -13x = -56 + 13x + -13x

Combine like terms: 5x + -13x = -8x
6 + -8x = -56 + 13x + -13x

Combine like terms: 13x + -13x = 0
6 + -8x = -56 + 0
6 + -8x = -56

Add '-6' to each side of the equation.
6 + -6 + -8x = -56 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = -56 + -6
-8x = -56 + -6

Combine like terms: -56 + -6 = -62
-8x = -62

Divide each side by '-8'.
x = 7.75

Simplifying
x = 7.75

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