6x-1=14x-57

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Solution for 6x-1=14x-57 equation:


Simplifying
6x + -1 = 14x + -57

Reorder the terms:
-1 + 6x = 14x + -57

Reorder the terms:
-1 + 6x = -57 + 14x

Solving
-1 + 6x = -57 + 14x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14x' to each side of the equation.
-1 + 6x + -14x = -57 + 14x + -14x

Combine like terms: 6x + -14x = -8x
-1 + -8x = -57 + 14x + -14x

Combine like terms: 14x + -14x = 0
-1 + -8x = -57 + 0
-1 + -8x = -57

Add '1' to each side of the equation.
-1 + 1 + -8x = -57 + 1

Combine like terms: -1 + 1 = 0
0 + -8x = -57 + 1
-8x = -57 + 1

Combine like terms: -57 + 1 = -56
-8x = -56

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

Simplifying
x = 7

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