7(m-2)-2(3+m)=80

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Solution for 7(m-2)-2(3+m)=80 equation:


Simplifying
7(m + -2) + -2(3 + m) = 80

Reorder the terms:
7(-2 + m) + -2(3 + m) = 80
(-2 * 7 + m * 7) + -2(3 + m) = 80
(-14 + 7m) + -2(3 + m) = 80
-14 + 7m + (3 * -2 + m * -2) = 80
-14 + 7m + (-6 + -2m) = 80

Reorder the terms:
-14 + -6 + 7m + -2m = 80

Combine like terms: -14 + -6 = -20
-20 + 7m + -2m = 80

Combine like terms: 7m + -2m = 5m
-20 + 5m = 80

Solving
-20 + 5m = 80

Solving for variable 'm'.

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

Add '20' to each side of the equation.
-20 + 20 + 5m = 80 + 20

Combine like terms: -20 + 20 = 0
0 + 5m = 80 + 20
5m = 80 + 20

Combine like terms: 80 + 20 = 100
5m = 100

Divide each side by '5'.
m = 20

Simplifying
m = 20

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