5x-1=13x-65

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Solution for 5x-1=13x-65 equation:


Simplifying
5x + -1 = 13x + -65

Reorder the terms:
-1 + 5x = 13x + -65

Reorder the terms:
-1 + 5x = -65 + 13x

Solving
-1 + 5x = -65 + 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.
-1 + 5x + -13x = -65 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-1 + -8x = -65 + 13x + -13x

Combine like terms: 13x + -13x = 0
-1 + -8x = -65 + 0
-1 + -8x = -65

Add '1' to each side of the equation.
-1 + 1 + -8x = -65 + 1

Combine like terms: -1 + 1 = 0
0 + -8x = -65 + 1
-8x = -65 + 1

Combine like terms: -65 + 1 = -64
-8x = -64

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

Simplifying
x = 8

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