2(x+8)=40-x

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Solution for 2(x+8)=40-x equation:


Simplifying
2(x + 8) = 40 + -1x

Reorder the terms:
2(8 + x) = 40 + -1x
(8 * 2 + x * 2) = 40 + -1x
(16 + 2x) = 40 + -1x

Solving
16 + 2x = 40 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
16 + 2x + x = 40 + -1x + x

Combine like terms: 2x + x = 3x
16 + 3x = 40 + -1x + x

Combine like terms: -1x + x = 0
16 + 3x = 40 + 0
16 + 3x = 40

Add '-16' to each side of the equation.
16 + -16 + 3x = 40 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = 40 + -16
3x = 40 + -16

Combine like terms: 40 + -16 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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