5x-15=13x-2

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Solution for 5x-15=13x-2 equation:


Simplifying
5x + -15 = 13x + -2

Reorder the terms:
-15 + 5x = 13x + -2

Reorder the terms:
-15 + 5x = -2 + 13x

Solving
-15 + 5x = -2 + 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.
-15 + 5x + -13x = -2 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-15 + -8x = -2 + 13x + -13x

Combine like terms: 13x + -13x = 0
-15 + -8x = -2 + 0
-15 + -8x = -2

Add '15' to each side of the equation.
-15 + 15 + -8x = -2 + 15

Combine like terms: -15 + 15 = 0
0 + -8x = -2 + 15
-8x = -2 + 15

Combine like terms: -2 + 15 = 13
-8x = 13

Divide each side by '-8'.
x = -1.625

Simplifying
x = -1.625

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