3(m+4)=7m-8

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Solution for 3(m+4)=7m-8 equation: 


Simplifying
3(m + 4) = 7m + -8

Reorder the terms:
3(4 + m) = 7m + -8
(4 * 3 + m * 3) = 7m + -8
(12 + 3m) = 7m + -8

Reorder the terms:
12 + 3m = -8 + 7m

Solving
12 + 3m = -8 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
12 + 3m + -7m = -8 + 7m + -7m

Combine like terms: 3m + -7m = -4m
12 + -4m = -8 + 7m + -7m

Combine like terms: 7m + -7m = 0
12 + -4m = -8 + 0
12 + -4m = -8

Add '-12' to each side of the equation.
12 + -12 + -4m = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -4m = -8 + -12
-4m = -8 + -12

Combine like terms: -8 + -12 = -20
-4m = -20

Divide each side by '-4'.
m = 5

Simplifying
m = 5

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