2(x-4)+7=-1-(x+8)

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Solution for 2(x-4)+7=-1-(x+8) equation:


Simplifying
2(x + -4) + 7 = -1 + -1(x + 8)

Reorder the terms:
2(-4 + x) + 7 = -1 + -1(x + 8)
(-4 * 2 + x * 2) + 7 = -1 + -1(x + 8)
(-8 + 2x) + 7 = -1 + -1(x + 8)

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

Combine like terms: -8 + 7 = -1
-1 + 2x = -1 + -1(x + 8)

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

Combine like terms: -1 + -8 = -9
-1 + 2x = -9 + -1x

Solving
-1 + 2x = -9 + -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.
-1 + 2x + x = -9 + -1x + x

Combine like terms: 2x + x = 3x
-1 + 3x = -9 + -1x + x

Combine like terms: -1x + x = 0
-1 + 3x = -9 + 0
-1 + 3x = -9

Add '1' to each side of the equation.
-1 + 1 + 3x = -9 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = -9 + 1
3x = -9 + 1

Combine like terms: -9 + 1 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

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