(2x+100)=(8x+10)

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Solution for (2x+100)=(8x+10) equation:


Simplifying
(2x + 100) = (8x + 10)

Reorder the terms:
(100 + 2x) = (8x + 10)

Remove parenthesis around (100 + 2x)
100 + 2x = (8x + 10)

Reorder the terms:
100 + 2x = (10 + 8x)

Remove parenthesis around (10 + 8x)
100 + 2x = 10 + 8x

Solving
100 + 2x = 10 + 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.
100 + 2x + -8x = 10 + 8x + -8x

Combine like terms: 2x + -8x = -6x
100 + -6x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
100 + -6x = 10 + 0
100 + -6x = 10

Add '-100' to each side of the equation.
100 + -100 + -6x = 10 + -100

Combine like terms: 100 + -100 = 0
0 + -6x = 10 + -100
-6x = 10 + -100

Combine like terms: 10 + -100 = -90
-6x = -90

Divide each side by '-6'.
x = 15

Simplifying
x = 15

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