2(x+5)=4x-x-8

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Solution for 2(x+5)=4x-x-8 equation: 


Simplifying
2(x + 5) = 4x + -1x + -8

Reorder the terms:
2(5 + x) = 4x + -1x + -8
(5 * 2 + x * 2) = 4x + -1x + -8
(10 + 2x) = 4x + -1x + -8

Reorder the terms:
10 + 2x = -8 + 4x + -1x

Combine like terms: 4x + -1x = 3x
10 + 2x = -8 + 3x

Solving
10 + 2x = -8 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
10 + 2x + -3x = -8 + 3x + -3x

Combine like terms: 2x + -3x = -1x
10 + -1x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -1x = -8 + 0
10 + -1x = -8

Add '-10' to each side of the equation.
10 + -10 + -1x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -8 + -10
-1x = -8 + -10

Combine like terms: -8 + -10 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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