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

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

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

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

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

Solving
-6 + 4m = 5 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-6 + 4m + -5m = 5 + 5m + -5m

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

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

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

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

Combine like terms: 5 + 6 = 11
-1m = 11

Divide each side by '-1'.
m = -11

Simplifying
m = -11