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

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


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

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

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

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

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

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

Reorder the terms:
1 + 1x = 5 + -2(2 + 3x)
1 + 1x = 5 + (2 * -2 + 3x * -2)
1 + 1x = 5 + (-4 + -6x)

Combine like terms: 5 + -4 = 1
1 + 1x = 1 + -6x

Add '-1' to each side of the equation.
1 + -1 + 1x = 1 + -1 + -6x

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

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

Solving
1x = -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
1x + 6x = -6x + 6x

Combine like terms: 1x + 6x = 7x
7x = -6x + 6x

Combine like terms: -6x + 6x = 0
7x = 0

Divide each side by '7'.
x = 0

Simplifying
x = 0

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