5x-4=13x-84

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Solution for 5x-4=13x-84 equation:


Simplifying
5x + -4 = 13x + -84

Reorder the terms:
-4 + 5x = 13x + -84

Reorder the terms:
-4 + 5x = -84 + 13x

Solving
-4 + 5x = -84 + 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.
-4 + 5x + -13x = -84 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-4 + -8x = -84 + 13x + -13x

Combine like terms: 13x + -13x = 0
-4 + -8x = -84 + 0
-4 + -8x = -84

Add '4' to each side of the equation.
-4 + 4 + -8x = -84 + 4

Combine like terms: -4 + 4 = 0
0 + -8x = -84 + 4
-8x = -84 + 4

Combine like terms: -84 + 4 = -80
-8x = -80

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

Simplifying
x = 10

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