8x+53=13x-5

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Solution for 8x+53=13x-5 equation:


Simplifying
8x + 53 = 13x + -5

Reorder the terms:
53 + 8x = 13x + -5

Reorder the terms:
53 + 8x = -5 + 13x

Solving
53 + 8x = -5 + 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.
53 + 8x + -13x = -5 + 13x + -13x

Combine like terms: 8x + -13x = -5x
53 + -5x = -5 + 13x + -13x

Combine like terms: 13x + -13x = 0
53 + -5x = -5 + 0
53 + -5x = -5

Add '-53' to each side of the equation.
53 + -53 + -5x = -5 + -53

Combine like terms: 53 + -53 = 0
0 + -5x = -5 + -53
-5x = -5 + -53

Combine like terms: -5 + -53 = -58
-5x = -58

Divide each side by '-5'.
x = 11.6

Simplifying
x = 11.6

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