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

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


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

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

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

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

Combine like terms: 2 + 6 = 8
8 + 2x + -3x = 5 + -1(x + -1)

Combine like terms: 2x + -3x = -1x
8 + -1x = 5 + -1(x + -1)

Reorder the terms:
8 + -1x = 5 + -1(-1 + x)
8 + -1x = 5 + (-1 * -1 + x * -1)
8 + -1x = 5 + (1 + -1x)

Combine like terms: 5 + 1 = 6
8 + -1x = 6 + -1x

Add 'x' to each side of the equation.
8 + -1x + x = 6 + -1x + x

Combine like terms: -1x + x = 0
8 + 0 = 6 + -1x + x
8 = 6 + -1x + x

Combine like terms: -1x + x = 0
8 = 6 + 0
8 = 6

Solving
8 = 6

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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