5(2-m)=3(m+6)

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Solution for 5(2-m)=3(m+6) equation:


Simplifying
5(2 + -1m) = 3(m + 6)
(2 * 5 + -1m * 5) = 3(m + 6)
(10 + -5m) = 3(m + 6)

Reorder the terms:
10 + -5m = 3(6 + m)
10 + -5m = (6 * 3 + m * 3)
10 + -5m = (18 + 3m)

Solving
10 + -5m = 18 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
10 + -5m + -3m = 18 + 3m + -3m

Combine like terms: -5m + -3m = -8m
10 + -8m = 18 + 3m + -3m

Combine like terms: 3m + -3m = 0
10 + -8m = 18 + 0
10 + -8m = 18

Add '-10' to each side of the equation.
10 + -10 + -8m = 18 + -10

Combine like terms: 10 + -10 = 0
0 + -8m = 18 + -10
-8m = 18 + -10

Combine like terms: 18 + -10 = 8
-8m = 8

Divide each side by '-8'.
m = -1

Simplifying
m = -1

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