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

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


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

Remove parenthesis around (-1x)
-1 * -1x + -3(-2x) + 3(-2 + x) = -1(x + -5)

Multiply -1 * -1
1x + -3(-2x) + 3(-2 + x) = -1(x + -5)

Remove parenthesis around (-2x)
1x + -3 * -2x + 3(-2 + x) = -1(x + -5)

Multiply -3 * -2
1x + 6x + 3(-2 + x) = -1(x + -5)
1x + 6x + (-2 * 3 + x * 3) = -1(x + -5)
1x + 6x + (-6 + 3x) = -1(x + -5)

Reorder the terms:
-6 + 1x + 6x + 3x = -1(x + -5)

Combine like terms: 1x + 6x = 7x
-6 + 7x + 3x = -1(x + -5)

Combine like terms: 7x + 3x = 10x
-6 + 10x = -1(x + -5)

Reorder the terms:
-6 + 10x = -1(-5 + x)
-6 + 10x = (-5 * -1 + x * -1)
-6 + 10x = (5 + -1x)

Solving
-6 + 10x = 5 + -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.
-6 + 10x + x = 5 + -1x + x

Combine like terms: 10x + x = 11x
-6 + 11x = 5 + -1x + x

Combine like terms: -1x + x = 0
-6 + 11x = 5 + 0
-6 + 11x = 5

Add '6' to each side of the equation.
-6 + 6 + 11x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 11x = 5 + 6
11x = 5 + 6

Combine like terms: 5 + 6 = 11
11x = 11

Divide each side by '11'.
x = 1

Simplifying
x = 1

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