2(x+4)=5x-x

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


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

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

Combine like terms: 5x + -1x = 4x
8 + 2x = 4x

Solving
8 + 2x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + 2x + -4x = 4x + -4x

Combine like terms: 2x + -4x = -2x
8 + -2x = 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -2x = 0

Add '-8' to each side of the equation.
8 + -8 + -2x = 0 + -8

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

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

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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