2m-2+3m+1=m+2(2m-3)

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

Simplifying
2m + -2 + 3m + 1 = m + 2(2m + -3)

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

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

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

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

Reorder the terms:
-1 + 5m = -6 + m + 4m

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

Add '-5m' to each side of the equation.
-1 + 5m + -5m = -6 + 5m + -5m

Combine like terms: 5m + -5m = 0
-1 + 0 = -6 + 5m + -5m
-1 = -6 + 5m + -5m

Combine like terms: 5m + -5m = 0
-1 = -6 + 0
-1 = -6

Solving
-1 = -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.