5(5-m)=3(m+1)

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Solution for 5(5-m)=3(m+1) equation:


Simplifying
5(5 + -1m) = 3(m + 1)
(5 * 5 + -1m * 5) = 3(m + 1)
(25 + -5m) = 3(m + 1)

Reorder the terms:
25 + -5m = 3(1 + m)
25 + -5m = (1 * 3 + m * 3)
25 + -5m = (3 + 3m)

Solving
25 + -5m = 3 + 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.
25 + -5m + -3m = 3 + 3m + -3m

Combine like terms: -5m + -3m = -8m
25 + -8m = 3 + 3m + -3m

Combine like terms: 3m + -3m = 0
25 + -8m = 3 + 0
25 + -8m = 3

Add '-25' to each side of the equation.
25 + -25 + -8m = 3 + -25

Combine like terms: 25 + -25 = 0
0 + -8m = 3 + -25
-8m = 3 + -25

Combine like terms: 3 + -25 = -22
-8m = -22

Divide each side by '-8'.
m = 2.75

Simplifying
m = 2.75

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