3.5(m+12)=2.5(20+m)

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Solution for 3.5(m+12)=2.5(20+m) equation:


Simplifying
3.5(m + 12) = 2.5(20 + m)

Reorder the terms:
3.5(12 + m) = 2.5(20 + m)
(12 * 3.5 + m * 3.5) = 2.5(20 + m)
(42 + 3.5m) = 2.5(20 + m)
42 + 3.5m = (20 * 2.5 + m * 2.5)
42 + 3.5m = (50 + 2.5m)

Solving
42 + 3.5m = 50 + 2.5m

Solving for variable 'm'.

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

Add '-2.5m' to each side of the equation.
42 + 3.5m + -2.5m = 50 + 2.5m + -2.5m

Combine like terms: 3.5m + -2.5m = 1m
42 + 1m = 50 + 2.5m + -2.5m

Combine like terms: 2.5m + -2.5m = 0.0
42 + 1m = 50 + 0.0
42 + 1m = 50

Add '-42' to each side of the equation.
42 + -42 + 1m = 50 + -42

Combine like terms: 42 + -42 = 0
0 + 1m = 50 + -42
1m = 50 + -42

Combine like terms: 50 + -42 = 8
1m = 8

Divide each side by '1'.
m = 8

Simplifying
m = 8

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