2x+71=6x-13

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Solution for 2x+71=6x-13 equation:


Simplifying
2x + 71 = 6x + -13

Reorder the terms:
71 + 2x = 6x + -13

Reorder the terms:
71 + 2x = -13 + 6x

Solving
71 + 2x = -13 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
71 + 2x + -6x = -13 + 6x + -6x

Combine like terms: 2x + -6x = -4x
71 + -4x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0
71 + -4x = -13 + 0
71 + -4x = -13

Add '-71' to each side of the equation.
71 + -71 + -4x = -13 + -71

Combine like terms: 71 + -71 = 0
0 + -4x = -13 + -71
-4x = -13 + -71

Combine like terms: -13 + -71 = -84
-4x = -84

Divide each side by '-4'.
x = 21

Simplifying
x = 21

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