6-(x-3)-x=-(x+1)

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Solution for 6-(x-3)-x=-(x+1) equation:


Simplifying
6 + -1(x + -3) + -1x = -1(x + 1)

Reorder the terms:
6 + -1(-3 + x) + -1x = -1(x + 1)
6 + (-3 * -1 + x * -1) + -1x = -1(x + 1)
6 + (3 + -1x) + -1x = -1(x + 1)

Combine like terms: 6 + 3 = 9
9 + -1x + -1x = -1(x + 1)

Combine like terms: -1x + -1x = -2x
9 + -2x = -1(x + 1)

Reorder the terms:
9 + -2x = -1(1 + x)
9 + -2x = (1 * -1 + x * -1)
9 + -2x = (-1 + -1x)

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

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

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

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

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

Combine like terms: -1 + -9 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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