8x+5=13x-6

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Solution for 8x+5=13x-6 equation:


Simplifying
8x + 5 = 13x + -6

Reorder the terms:
5 + 8x = 13x + -6

Reorder the terms:
5 + 8x = -6 + 13x

Solving
5 + 8x = -6 + 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.
5 + 8x + -13x = -6 + 13x + -13x

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

Combine like terms: 13x + -13x = 0
5 + -5x = -6 + 0
5 + -5x = -6

Add '-5' to each side of the equation.
5 + -5 + -5x = -6 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = -6 + -5
-5x = -6 + -5

Combine like terms: -6 + -5 = -11
-5x = -11

Divide each side by '-5'.
x = 2.2

Simplifying
x = 2.2

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