8(10-m)=5(m+3)

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Solution for 8(10-m)=5(m+3) equation:


Simplifying
8(10 + -1m) = 5(m + 3)
(10 * 8 + -1m * 8) = 5(m + 3)
(80 + -8m) = 5(m + 3)

Reorder the terms:
80 + -8m = 5(3 + m)
80 + -8m = (3 * 5 + m * 5)
80 + -8m = (15 + 5m)

Solving
80 + -8m = 15 + 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.
80 + -8m + -5m = 15 + 5m + -5m

Combine like terms: -8m + -5m = -13m
80 + -13m = 15 + 5m + -5m

Combine like terms: 5m + -5m = 0
80 + -13m = 15 + 0
80 + -13m = 15

Add '-80' to each side of the equation.
80 + -80 + -13m = 15 + -80

Combine like terms: 80 + -80 = 0
0 + -13m = 15 + -80
-13m = 15 + -80

Combine like terms: 15 + -80 = -65
-13m = -65

Divide each side by '-13'.
m = 5

Simplifying
m = 5

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