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

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


Simplifying
5(2m + -5) = 7 + -1(m + 3)

Reorder the terms:
5(-5 + 2m) = 7 + -1(m + 3)
(-5 * 5 + 2m * 5) = 7 + -1(m + 3)
(-25 + 10m) = 7 + -1(m + 3)

Reorder the terms:
-25 + 10m = 7 + -1(3 + m)
-25 + 10m = 7 + (3 * -1 + m * -1)
-25 + 10m = 7 + (-3 + -1m)

Combine like terms: 7 + -3 = 4
-25 + 10m = 4 + -1m

Solving
-25 + 10m = 4 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
-25 + 10m + m = 4 + -1m + m

Combine like terms: 10m + m = 11m
-25 + 11m = 4 + -1m + m

Combine like terms: -1m + m = 0
-25 + 11m = 4 + 0
-25 + 11m = 4

Add '25' to each side of the equation.
-25 + 25 + 11m = 4 + 25

Combine like terms: -25 + 25 = 0
0 + 11m = 4 + 25
11m = 4 + 25

Combine like terms: 4 + 25 = 29
11m = 29

Divide each side by '11'.
m = 2.636363636

Simplifying
m = 2.636363636

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