2(7m+3)=8(3m-8)

Solution for 2(7m+3)=8(3m-8) equation:

Simplifying
2(7m + 3) = 8(3m + -8)

Reorder the terms:
2(3 + 7m) = 8(3m + -8)
(3 * 2 + 7m * 2) = 8(3m + -8)
(6 + 14m) = 8(3m + -8)

Reorder the terms:
6 + 14m = 8(-8 + 3m)
6 + 14m = (-8 * 8 + 3m * 8)
6 + 14m = (-64 + 24m)

Solving
6 + 14m = -64 + 24m

Solving for variable 'm'.

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

Add '-24m' to each side of the equation.
6 + 14m + -24m = -64 + 24m + -24m

Combine like terms: 14m + -24m = -10m
6 + -10m = -64 + 24m + -24m

Combine like terms: 24m + -24m = 0
6 + -10m = -64 + 0
6 + -10m = -64

Add '-6' to each side of the equation.
6 + -6 + -10m = -64 + -6

Combine like terms: 6 + -6 = 0
0 + -10m = -64 + -6
-10m = -64 + -6

Combine like terms: -64 + -6 = -70
-10m = -70

Divide each side by '-10'.
m = 7

Simplifying
m = 7