3(m-4)+5=5m-21

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Solution for 3(m-4)+5=5m-21 equation:


Simplifying
3(m + -4) + 5 = 5m + -21

Reorder the terms:
3(-4 + m) + 5 = 5m + -21
(-4 * 3 + m * 3) + 5 = 5m + -21
(-12 + 3m) + 5 = 5m + -21

Reorder the terms:
-12 + 5 + 3m = 5m + -21

Combine like terms: -12 + 5 = -7
-7 + 3m = 5m + -21

Reorder the terms:
-7 + 3m = -21 + 5m

Solving
-7 + 3m = -21 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-7 + 3m + -5m = -21 + 5m + -5m

Combine like terms: 3m + -5m = -2m
-7 + -2m = -21 + 5m + -5m

Combine like terms: 5m + -5m = 0
-7 + -2m = -21 + 0
-7 + -2m = -21

Add '7' to each side of the equation.
-7 + 7 + -2m = -21 + 7

Combine like terms: -7 + 7 = 0
0 + -2m = -21 + 7
-2m = -21 + 7

Combine like terms: -21 + 7 = -14
-2m = -14

Divide each side by '-2'.
m = 7

Simplifying
m = 7

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