2(5-8)=4(m+6)

Solution for 2(5-8)=4(m+6) equation:

Simplifying
2(5 + -8) = 4(m + 6)

Combine like terms: 5 + -8 = -3
2(-3) = 4(m + 6)

Multiply 2 * -3
-6 = 4(m + 6)

Reorder the terms:
-6 = 4(6 + m)
-6 = (6 * 4 + m * 4)
-6 = (24 + 4m)

Solving
-6 = 24 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-6 + -4m = 24 + 4m + -4m

Combine like terms: 4m + -4m = 0
-6 + -4m = 24 + 0
-6 + -4m = 24

Add '6' to each side of the equation.
-6 + 6 + -4m = 24 + 6

Combine like terms: -6 + 6 = 0
0 + -4m = 24 + 6
-4m = 24 + 6

Combine like terms: 24 + 6 = 30
-4m = 30

Divide each side by '-4'.
m = -7.5

Simplifying
m = -7.5