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

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Solution for (-2)(2-x+1)-(3-x)=5-(x-2)-3(5-x) equation: 


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

Reorder the terms:
-2(2 + 1 + -1x) + -1(3 + -1x) = 5 + -1(x + -2) + -3(5 + -1x)

Combine like terms: 2 + 1 = 3
-2(3 + -1x) + -1(3 + -1x) = 5 + -1(x + -2) + -3(5 + -1x)
(3 * -2 + -1x * -2) + -1(3 + -1x) = 5 + -1(x + -2) + -3(5 + -1x)
(-6 + 2x) + -1(3 + -1x) = 5 + -1(x + -2) + -3(5 + -1x)
-6 + 2x + (3 * -1 + -1x * -1) = 5 + -1(x + -2) + -3(5 + -1x)
-6 + 2x + (-3 + 1x) = 5 + -1(x + -2) + -3(5 + -1x)

Reorder the terms:
-6 + -3 + 2x + 1x = 5 + -1(x + -2) + -3(5 + -1x)

Combine like terms: -6 + -3 = -9
-9 + 2x + 1x = 5 + -1(x + -2) + -3(5 + -1x)

Combine like terms: 2x + 1x = 3x
-9 + 3x = 5 + -1(x + -2) + -3(5 + -1x)

Reorder the terms:
-9 + 3x = 5 + -1(-2 + x) + -3(5 + -1x)
-9 + 3x = 5 + (-2 * -1 + x * -1) + -3(5 + -1x)
-9 + 3x = 5 + (2 + -1x) + -3(5 + -1x)
-9 + 3x = 5 + 2 + -1x + (5 * -3 + -1x * -3)
-9 + 3x = 5 + 2 + -1x + (-15 + 3x)

Reorder the terms:
-9 + 3x = 5 + 2 + -15 + -1x + 3x

Combine like terms: 5 + 2 = 7
-9 + 3x = 7 + -15 + -1x + 3x

Combine like terms: 7 + -15 = -8
-9 + 3x = -8 + -1x + 3x

Combine like terms: -1x + 3x = 2x
-9 + 3x = -8 + 2x

Solving
-9 + 3x = -8 + 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.
-9 + 3x + -2x = -8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-9 + 1x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 1x = -8 + 0
-9 + 1x = -8

Add '9' to each side of the equation.
-9 + 9 + 1x = -8 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -8 + 9
1x = -8 + 9

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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