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

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Solution for 4(m-5)=5(m+3) equation:


Simplifying
4(m + -5) = 5(m + 3)

Reorder the terms:
4(-5 + m) = 5(m + 3)
(-5 * 4 + m * 4) = 5(m + 3)
(-20 + 4m) = 5(m + 3)

Reorder the terms:
-20 + 4m = 5(3 + m)
-20 + 4m = (3 * 5 + m * 5)
-20 + 4m = (15 + 5m)

Solving
-20 + 4m = 15 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-20 + 4m + -5m = 15 + 5m + -5m

Combine like terms: 4m + -5m = -1m
-20 + -1m = 15 + 5m + -5m

Combine like terms: 5m + -5m = 0
-20 + -1m = 15 + 0
-20 + -1m = 15

Add '20' to each side of the equation.
-20 + 20 + -1m = 15 + 20

Combine like terms: -20 + 20 = 0
0 + -1m = 15 + 20
-1m = 15 + 20

Combine like terms: 15 + 20 = 35
-1m = 35

Divide each side by '-1'.
m = -35

Simplifying
m = -35

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