5x-3=13x-5

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Solution for 5x-3=13x-5 equation:


Simplifying
5x + -3 = 13x + -5

Reorder the terms:
-3 + 5x = 13x + -5

Reorder the terms:
-3 + 5x = -5 + 13x

Solving
-3 + 5x = -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.
-3 + 5x + -13x = -5 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-3 + -8x = -5 + 13x + -13x

Combine like terms: 13x + -13x = 0
-3 + -8x = -5 + 0
-3 + -8x = -5

Add '3' to each side of the equation.
-3 + 3 + -8x = -5 + 3

Combine like terms: -3 + 3 = 0
0 + -8x = -5 + 3
-8x = -5 + 3

Combine like terms: -5 + 3 = -2
-8x = -2

Divide each side by '-8'.
x = 0.25

Simplifying
x = 0.25

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