x*10-72=x*8+6

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Solution for x*10-72=x*8+6 equation:


Simplifying
x * 10 + -72 = x * 8 + 6

Reorder the terms for easier multiplication:
10x + -72 = x * 8 + 6

Reorder the terms:
-72 + 10x = x * 8 + 6

Reorder the terms for easier multiplication:
-72 + 10x = 8x + 6

Reorder the terms:
-72 + 10x = 6 + 8x

Solving
-72 + 10x = 6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-72 + 10x + -8x = 6 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-72 + 2x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-72 + 2x = 6 + 0
-72 + 2x = 6

Add '72' to each side of the equation.
-72 + 72 + 2x = 6 + 72

Combine like terms: -72 + 72 = 0
0 + 2x = 6 + 72
2x = 6 + 72

Combine like terms: 6 + 72 = 78
2x = 78

Divide each side by '2'.
x = 39

Simplifying
x = 39

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