6x-71=3x-14

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Solution for 6x-71=3x-14 equation:


Simplifying
6x + -71 = 3x + -14

Reorder the terms:
-71 + 6x = 3x + -14

Reorder the terms:
-71 + 6x = -14 + 3x

Solving
-71 + 6x = -14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-71 + 6x + -3x = -14 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-71 + 3x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-71 + 3x = -14 + 0
-71 + 3x = -14

Add '71' to each side of the equation.
-71 + 71 + 3x = -14 + 71

Combine like terms: -71 + 71 = 0
0 + 3x = -14 + 71
3x = -14 + 71

Combine like terms: -14 + 71 = 57
3x = 57

Divide each side by '3'.
x = 19

Simplifying
x = 19

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