2(m-21)=34-3(m-3)

Solution for 2(m-21)=34-3(m-3) equation:

Simplifying
2(m + -21) = 34 + -3(m + -3)

Reorder the terms:
2(-21 + m) = 34 + -3(m + -3)
(-21 * 2 + m * 2) = 34 + -3(m + -3)
(-42 + 2m) = 34 + -3(m + -3)

Reorder the terms:
-42 + 2m = 34 + -3(-3 + m)
-42 + 2m = 34 + (-3 * -3 + m * -3)
-42 + 2m = 34 + (9 + -3m)

Combine like terms: 34 + 9 = 43
-42 + 2m = 43 + -3m

Solving
-42 + 2m = 43 + -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.
-42 + 2m + 3m = 43 + -3m + 3m

Combine like terms: 2m + 3m = 5m
-42 + 5m = 43 + -3m + 3m

Combine like terms: -3m + 3m = 0
-42 + 5m = 43 + 0
-42 + 5m = 43

Add '42' to each side of the equation.
-42 + 42 + 5m = 43 + 42

Combine like terms: -42 + 42 = 0
0 + 5m = 43 + 42
5m = 43 + 42

Combine like terms: 43 + 42 = 85
5m = 85

Divide each side by '5'.
m = 17

Simplifying
m = 17