4(2m-3)=3(m+1)

Solution for 4(2m-3)=3(m+1) equation:

Simplifying
4(2m + -3) = 3(m + 1)

Reorder the terms:
4(-3 + 2m) = 3(m + 1)
(-3 * 4 + 2m * 4) = 3(m + 1)
(-12 + 8m) = 3(m + 1)

Reorder the terms:
-12 + 8m = 3(1 + m)
-12 + 8m = (1 * 3 + m * 3)
-12 + 8m = (3 + 3m)

Solving
-12 + 8m = 3 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-12 + 8m + -3m = 3 + 3m + -3m

Combine like terms: 8m + -3m = 5m
-12 + 5m = 3 + 3m + -3m

Combine like terms: 3m + -3m = 0
-12 + 5m = 3 + 0
-12 + 5m = 3

Add '12' to each side of the equation.
-12 + 12 + 5m = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 5m = 3 + 12
5m = 3 + 12

Combine like terms: 3 + 12 = 15
5m = 15

Divide each side by '5'.
m = 3

Simplifying
m = 3