6-(x+4)=-1+2(x-4)

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Solution for 6-(x+4)=-1+2(x-4) equation:


Simplifying
6 + -1(x + 4) = -1 + 2(x + -4)

Reorder the terms:
6 + -1(4 + x) = -1 + 2(x + -4)
6 + (4 * -1 + x * -1) = -1 + 2(x + -4)
6 + (-4 + -1x) = -1 + 2(x + -4)

Combine like terms: 6 + -4 = 2
2 + -1x = -1 + 2(x + -4)

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

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

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

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

Combine like terms: 2x + -2x = 0
2 + -3x = -9 + 0
2 + -3x = -9

Add '-2' to each side of the equation.
2 + -2 + -3x = -9 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -9 + -2
-3x = -9 + -2

Combine like terms: -9 + -2 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667

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