x*6-71=x*3-5

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Solution for x*6-71=x*3-5 equation: 


Simplifying
x * 6 + -71 = x * 3 + -5

Reorder the terms for easier multiplication:
6x + -71 = x * 3 + -5

Reorder the terms:
-71 + 6x = x * 3 + -5

Reorder the terms for easier multiplication:
-71 + 6x = 3x + -5

Reorder the terms:
-71 + 6x = -5 + 3x

Solving
-71 + 6x = -5 + 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 = -5 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-71 + 3x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-71 + 3x = -5 + 0
-71 + 3x = -5

Add '71' to each side of the equation.
-71 + 71 + 3x = -5 + 71

Combine like terms: -71 + 71 = 0
0 + 3x = -5 + 71
3x = -5 + 71

Combine like terms: -5 + 71 = 66
3x = 66

Divide each side by '3'.
x = 22

Simplifying
x = 22

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