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

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

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

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

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

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

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

Combine like terms: 5 + 2 = 7
6 + 3x = 7 + 5x + -2x

Combine like terms: 5x + -2x = 3x
6 + 3x = 7 + 3x

Add '-3x' to each side of the equation.
6 + 3x + -3x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 0 = 7 + 3x + -3x
6 = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 = 7 + 0
6 = 7

Solving
6 = 7

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.