x*2+102=x*8-6

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Solution for x*2+102=x*8-6 equation:


Simplifying
x * 2 + 102 = x * 8 + -6

Reorder the terms for easier multiplication:
2x + 102 = x * 8 + -6

Reorder the terms:
102 + 2x = x * 8 + -6

Reorder the terms for easier multiplication:
102 + 2x = 8x + -6

Reorder the terms:
102 + 2x = -6 + 8x

Solving
102 + 2x = -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.
102 + 2x + -8x = -6 + 8x + -8x

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

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

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

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

Combine like terms: -6 + -102 = -108
-6x = -108

Divide each side by '-6'.
x = 18

Simplifying
x = 18

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