6x-1=13x-57

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Solution for 6x-1=13x-57 equation:


Simplifying
6x + -1 = 13x + -57

Reorder the terms:
-1 + 6x = 13x + -57

Reorder the terms:
-1 + 6x = -57 + 13x

Solving
-1 + 6x = -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.
-1 + 6x + -13x = -57 + 13x + -13x

Combine like terms: 6x + -13x = -7x
-1 + -7x = -57 + 13x + -13x

Combine like terms: 13x + -13x = 0
-1 + -7x = -57 + 0
-1 + -7x = -57

Add '1' to each side of the equation.
-1 + 1 + -7x = -57 + 1

Combine like terms: -1 + 1 = 0
0 + -7x = -57 + 1
-7x = -57 + 1

Combine like terms: -57 + 1 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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