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

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


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

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

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

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

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

Solving
5 + 2x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5 + 2x + -3x = -1 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
5 + -1x = -1 + 0
5 + -1x = -1

Add '-5' to each side of the equation.
5 + -5 + -1x = -1 + -5

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

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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