2x+102=8x+54

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Solution for 2x+102=8x+54 equation:


Simplifying
2x + 102 = 8x + 54

Reorder the terms:
102 + 2x = 8x + 54

Reorder the terms:
102 + 2x = 54 + 8x

Solving
102 + 2x = 54 + 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 = 54 + 8x + -8x

Combine like terms: 2x + -8x = -6x
102 + -6x = 54 + 8x + -8x

Combine like terms: 8x + -8x = 0
102 + -6x = 54 + 0
102 + -6x = 54

Add '-102' to each side of the equation.
102 + -102 + -6x = 54 + -102

Combine like terms: 102 + -102 = 0
0 + -6x = 54 + -102
-6x = 54 + -102

Combine like terms: 54 + -102 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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