5(m-3)=4(m+2)

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Solution for 5(m-3)=4(m+2) equation:


Simplifying
5(m + -3) = 4(m + 2)

Reorder the terms:
5(-3 + m) = 4(m + 2)
(-3 * 5 + m * 5) = 4(m + 2)
(-15 + 5m) = 4(m + 2)

Reorder the terms:
-15 + 5m = 4(2 + m)
-15 + 5m = (2 * 4 + m * 4)
-15 + 5m = (8 + 4m)

Solving
-15 + 5m = 8 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-15 + 5m + -4m = 8 + 4m + -4m

Combine like terms: 5m + -4m = 1m
-15 + 1m = 8 + 4m + -4m

Combine like terms: 4m + -4m = 0
-15 + 1m = 8 + 0
-15 + 1m = 8

Add '15' to each side of the equation.
-15 + 15 + 1m = 8 + 15

Combine like terms: -15 + 15 = 0
0 + 1m = 8 + 15
1m = 8 + 15

Combine like terms: 8 + 15 = 23
1m = 23

Divide each side by '1'.
m = 23

Simplifying
m = 23

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