2(m-22)+3(m-3)=32

Solution for 2(m-22)+3(m-3)=32 equation:

Simplifying
2(m + -22) + 3(m + -3) = 32

Reorder the terms:
2(-22 + m) + 3(m + -3) = 32
(-22 * 2 + m * 2) + 3(m + -3) = 32
(-44 + 2m) + 3(m + -3) = 32

Reorder the terms:
-44 + 2m + 3(-3 + m) = 32
-44 + 2m + (-3 * 3 + m * 3) = 32
-44 + 2m + (-9 + 3m) = 32

Reorder the terms:
-44 + -9 + 2m + 3m = 32

Combine like terms: -44 + -9 = -53
-53 + 2m + 3m = 32

Combine like terms: 2m + 3m = 5m
-53 + 5m = 32

Solving
-53 + 5m = 32

Solving for variable 'm'.

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

Add '53' to each side of the equation.
-53 + 53 + 5m = 32 + 53

Combine like terms: -53 + 53 = 0
0 + 5m = 32 + 53
5m = 32 + 53

Combine like terms: 32 + 53 = 85
5m = 85

Divide each side by '5'.
m = 17

Simplifying
m = 17