5x-3=13x-57

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Solution for 5x-3=13x-57 equation:


Simplifying
5x + -3 = 13x + -57

Reorder the terms:
-3 + 5x = 13x + -57

Reorder the terms:
-3 + 5x = -57 + 13x

Solving
-3 + 5x = -57 + 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 = -57 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-3 + -8x = -57 + 13x + -13x

Combine like terms: 13x + -13x = 0
-3 + -8x = -57 + 0
-3 + -8x = -57

Add '3' to each side of the equation.
-3 + 3 + -8x = -57 + 3

Combine like terms: -3 + 3 = 0
0 + -8x = -57 + 3
-8x = -57 + 3

Combine like terms: -57 + 3 = -54
-8x = -54

Divide each side by '-8'.
x = 6.75

Simplifying
x = 6.75

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