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

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


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

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

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

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

Combine like terms: 2 + 6 = 8
3 + -2x = 8 + -3x

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

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

Combine like terms: -3x + 3x = 0
3 + 1x = 8 + 0
3 + 1x = 8

Add '-3' to each side of the equation.
3 + -3 + 1x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 8 + -3
1x = 8 + -3

Combine like terms: 8 + -3 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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