2x+10=8x-10

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Solution for 2x+10=8x-10 equation:


Simplifying
2x + 10 = 8x + -10

Reorder the terms:
10 + 2x = 8x + -10

Reorder the terms:
10 + 2x = -10 + 8x

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

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

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

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

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

Combine like terms: -10 + -10 = -20
-6x = -20

Divide each side by '-6'.
x = 3.333333333

Simplifying
x = 3.333333333

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