2(x+8)-x=5-(x+3)

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Solution for 2(x+8)-x=5-(x+3) equation:


Simplifying
2(x + 8) + -1x = 5 + -1(x + 3)

Reorder the terms:
2(8 + x) + -1x = 5 + -1(x + 3)
(8 * 2 + x * 2) + -1x = 5 + -1(x + 3)
(16 + 2x) + -1x = 5 + -1(x + 3)

Combine like terms: 2x + -1x = 1x
16 + 1x = 5 + -1(x + 3)

Reorder the terms:
16 + 1x = 5 + -1(3 + x)
16 + 1x = 5 + (3 * -1 + x * -1)
16 + 1x = 5 + (-3 + -1x)

Combine like terms: 5 + -3 = 2
16 + 1x = 2 + -1x

Solving
16 + 1x = 2 + -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 + 1x + x = 2 + -1x + x

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

Combine like terms: -1x + x = 0
16 + 2x = 2 + 0
16 + 2x = 2

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

Combine like terms: 16 + -16 = 0
0 + 2x = 2 + -16
2x = 2 + -16

Combine like terms: 2 + -16 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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