x*10-104=x*5-14

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Solution for x*10-104=x*5-14 equation:


Simplifying
x * 10 + -104 = x * 5 + -14

Reorder the terms for easier multiplication:
10x + -104 = x * 5 + -14

Reorder the terms:
-104 + 10x = x * 5 + -14

Reorder the terms for easier multiplication:
-104 + 10x = 5x + -14

Reorder the terms:
-104 + 10x = -14 + 5x

Solving
-104 + 10x = -14 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-104 + 10x + -5x = -14 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-104 + 5x = -14 + 5x + -5x

Combine like terms: 5x + -5x = 0
-104 + 5x = -14 + 0
-104 + 5x = -14

Add '104' to each side of the equation.
-104 + 104 + 5x = -14 + 104

Combine like terms: -104 + 104 = 0
0 + 5x = -14 + 104
5x = -14 + 104

Combine like terms: -14 + 104 = 90
5x = 90

Divide each side by '5'.
x = 18

Simplifying
x = 18

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