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

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

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

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

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

Solving
4 + 4m = -3 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
4 + 4m + -6m = -3 + 6m + -6m

Combine like terms: 4m + -6m = -2m
4 + -2m = -3 + 6m + -6m

Combine like terms: 6m + -6m = 0
4 + -2m = -3 + 0
4 + -2m = -3

Add '-4' to each side of the equation.
4 + -4 + -2m = -3 + -4

Combine like terms: 4 + -4 = 0
0 + -2m = -3 + -4
-2m = -3 + -4

Combine like terms: -3 + -4 = -7
-2m = -7

Divide each side by '-2'.
m = 3.5

Simplifying
m = 3.5