5x-5=13x-10

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Solution for 5x-5=13x-10 equation:


Simplifying
5x + -5 = 13x + -10

Reorder the terms:
-5 + 5x = 13x + -10

Reorder the terms:
-5 + 5x = -10 + 13x

Solving
-5 + 5x = -10 + 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.
-5 + 5x + -13x = -10 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-5 + -8x = -10 + 13x + -13x

Combine like terms: 13x + -13x = 0
-5 + -8x = -10 + 0
-5 + -8x = -10

Add '5' to each side of the equation.
-5 + 5 + -8x = -10 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = -10 + 5
-8x = -10 + 5

Combine like terms: -10 + 5 = -5
-8x = -5

Divide each side by '-8'.
x = 0.625

Simplifying
x = 0.625

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