7m-3(2-5m)=2(m+7)

Solution for 7m-3(2-5m)=2(m+7) equation:

Simplifying
7m + -3(2 + -5m) = 2(m + 7)
7m + (2 * -3 + -5m * -3) = 2(m + 7)
7m + (-6 + 15m) = 2(m + 7)

Reorder the terms:
-6 + 7m + 15m = 2(m + 7)

Combine like terms: 7m + 15m = 22m
-6 + 22m = 2(m + 7)

Reorder the terms:
-6 + 22m = 2(7 + m)
-6 + 22m = (7 * 2 + m * 2)
-6 + 22m = (14 + 2m)

Solving
-6 + 22m = 14 + 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.
-6 + 22m + -2m = 14 + 2m + -2m

Combine like terms: 22m + -2m = 20m
-6 + 20m = 14 + 2m + -2m

Combine like terms: 2m + -2m = 0
-6 + 20m = 14 + 0
-6 + 20m = 14

Add '6' to each side of the equation.
-6 + 6 + 20m = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 20m = 14 + 6
20m = 14 + 6

Combine like terms: 14 + 6 = 20
20m = 20

Divide each side by '20'.
m = 1

Simplifying
m = 1