5(2.5m+1075-5m)=5(75+2.5m)

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Solution for 5(2.5m+1075-5m)=5(75+2.5m) equation: 


Simplifying
5(2.5m + 1075 + -5m) = 5(75 + 2.5m)

Reorder the terms:
5(1075 + 2.5m + -5m) = 5(75 + 2.5m)

Combine like terms: 2.5m + -5m = -2.5m
5(1075 + -2.5m) = 5(75 + 2.5m)
(1075 * 5 + -2.5m * 5) = 5(75 + 2.5m)
(5375 + -12.5m) = 5(75 + 2.5m)
5375 + -12.5m = (75 * 5 + 2.5m * 5)
5375 + -12.5m = (375 + 12.5m)

Solving
5375 + -12.5m = 375 + 12.5m

Solving for variable 'm'.

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

Add '-12.5m' to each side of the equation.
5375 + -12.5m + -12.5m = 375 + 12.5m + -12.5m

Combine like terms: -12.5m + -12.5m = -25m
5375 + -25m = 375 + 12.5m + -12.5m

Combine like terms: 12.5m + -12.5m = 0.0
5375 + -25m = 375 + 0.0
5375 + -25m = 375

Add '-5375' to each side of the equation.
5375 + -5375 + -25m = 375 + -5375

Combine like terms: 5375 + -5375 = 0
0 + -25m = 375 + -5375
-25m = 375 + -5375

Combine like terms: 375 + -5375 = -5000
-25m = -5000

Divide each side by '-25'.
m = 200

Simplifying
m = 200

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