5(3m-7)=2(5m+10)

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Solution for 5(3m-7)=2(5m+10) equation:


Simplifying
5(3m + -7) = 2(5m + 10)

Reorder the terms:
5(-7 + 3m) = 2(5m + 10)
(-7 * 5 + 3m * 5) = 2(5m + 10)
(-35 + 15m) = 2(5m + 10)

Reorder the terms:
-35 + 15m = 2(10 + 5m)
-35 + 15m = (10 * 2 + 5m * 2)
-35 + 15m = (20 + 10m)

Solving
-35 + 15m = 20 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
-35 + 15m + -10m = 20 + 10m + -10m

Combine like terms: 15m + -10m = 5m
-35 + 5m = 20 + 10m + -10m

Combine like terms: 10m + -10m = 0
-35 + 5m = 20 + 0
-35 + 5m = 20

Add '35' to each side of the equation.
-35 + 35 + 5m = 20 + 35

Combine like terms: -35 + 35 = 0
0 + 5m = 20 + 35
5m = 20 + 35

Combine like terms: 20 + 35 = 55
5m = 55

Divide each side by '5'.
m = 11

Simplifying
m = 11

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