4(2m-5)=5-2(m+1)

Solution for 4(2m-5)=5-2(m+1) equation:

Simplifying
4(2m + -5) = 5 + -2(m + 1)

Reorder the terms:
4(-5 + 2m) = 5 + -2(m + 1)
(-5 * 4 + 2m * 4) = 5 + -2(m + 1)
(-20 + 8m) = 5 + -2(m + 1)

Reorder the terms:
-20 + 8m = 5 + -2(1 + m)
-20 + 8m = 5 + (1 * -2 + m * -2)
-20 + 8m = 5 + (-2 + -2m)

Combine like terms: 5 + -2 = 3
-20 + 8m = 3 + -2m

Solving
-20 + 8m = 3 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
-20 + 8m + 2m = 3 + -2m + 2m

Combine like terms: 8m + 2m = 10m
-20 + 10m = 3 + -2m + 2m

Combine like terms: -2m + 2m = 0
-20 + 10m = 3 + 0
-20 + 10m = 3

Add '20' to each side of the equation.
-20 + 20 + 10m = 3 + 20

Combine like terms: -20 + 20 = 0
0 + 10m = 3 + 20
10m = 3 + 20

Combine like terms: 3 + 20 = 23
10m = 23

Divide each side by '10'.
m = 2.3

Simplifying
m = 2.3