2(x+5)=8x-2

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Solution for 2(x+5)=8x-2 equation:


Simplifying
2(x + 5) = 8x + -2

Reorder the terms:
2(5 + x) = 8x + -2
(5 * 2 + x * 2) = 8x + -2
(10 + 2x) = 8x + -2

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

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

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

Combine like terms: 8x + -8x = 0
10 + -6x = -2 + 0
10 + -6x = -2

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

Combine like terms: 10 + -10 = 0
0 + -6x = -2 + -10
-6x = -2 + -10

Combine like terms: -2 + -10 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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