x*5-60=x*3-14

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Solution for x*5-60=x*3-14 equation:


Simplifying
x * 5 + -60 = x * 3 + -14

Reorder the terms for easier multiplication:
5x + -60 = x * 3 + -14

Reorder the terms:
-60 + 5x = x * 3 + -14

Reorder the terms for easier multiplication:
-60 + 5x = 3x + -14

Reorder the terms:
-60 + 5x = -14 + 3x

Solving
-60 + 5x = -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.
-60 + 5x + -3x = -14 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-60 + 2x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-60 + 2x = -14 + 0
-60 + 2x = -14

Add '60' to each side of the equation.
-60 + 60 + 2x = -14 + 60

Combine like terms: -60 + 60 = 0
0 + 2x = -14 + 60
2x = -14 + 60

Combine like terms: -14 + 60 = 46
2x = 46

Divide each side by '2'.
x = 23

Simplifying
x = 23

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