2(x+8)-x=2(3-x)-7

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Solution for 2(x+8)-x=2(3-x)-7 equation: 


Simplifying
2(x + 8) + -1x = 2(3 + -1x) + -7

Reorder the terms:
2(8 + x) + -1x = 2(3 + -1x) + -7
(8 * 2 + x * 2) + -1x = 2(3 + -1x) + -7
(16 + 2x) + -1x = 2(3 + -1x) + -7

Combine like terms: 2x + -1x = 1x
16 + 1x = 2(3 + -1x) + -7
16 + 1x = (3 * 2 + -1x * 2) + -7
16 + 1x = (6 + -2x) + -7

Reorder the terms:
16 + 1x = 6 + -7 + -2x

Combine like terms: 6 + -7 = -1
16 + 1x = -1 + -2x

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

Solving for variable 'x'.

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

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

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

Combine like terms: -2x + 2x = 0
16 + 3x = -1 + 0
16 + 3x = -1

Add '-16' to each side of the equation.
16 + -16 + 3x = -1 + -16

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

Combine like terms: -1 + -16 = -17
3x = -17

Divide each side by '3'.
x = -5.666666667

Simplifying
x = -5.666666667

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