10x-102=2x-6

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Solution for 10x-102=2x-6 equation:


Simplifying
10x + -102 = 2x + -6

Reorder the terms:
-102 + 10x = 2x + -6

Reorder the terms:
-102 + 10x = -6 + 2x

Solving
-102 + 10x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-102 + 10x + -2x = -6 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-102 + 8x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-102 + 8x = -6 + 0
-102 + 8x = -6

Add '102' to each side of the equation.
-102 + 102 + 8x = -6 + 102

Combine like terms: -102 + 102 = 0
0 + 8x = -6 + 102
8x = -6 + 102

Combine like terms: -6 + 102 = 96
8x = 96

Divide each side by '8'.
x = 12

Simplifying
x = 12

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