3x-1=13x-71

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Solution for 3x-1=13x-71 equation:


Simplifying
3x + -1 = 13x + -71

Reorder the terms:
-1 + 3x = 13x + -71

Reorder the terms:
-1 + 3x = -71 + 13x

Solving
-1 + 3x = -71 + 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 + 3x + -13x = -71 + 13x + -13x

Combine like terms: 3x + -13x = -10x
-1 + -10x = -71 + 13x + -13x

Combine like terms: 13x + -13x = 0
-1 + -10x = -71 + 0
-1 + -10x = -71

Add '1' to each side of the equation.
-1 + 1 + -10x = -71 + 1

Combine like terms: -1 + 1 = 0
0 + -10x = -71 + 1
-10x = -71 + 1

Combine like terms: -71 + 1 = -70
-10x = -70

Divide each side by '-10'.
x = 7

Simplifying
x = 7

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