5(2m+3)=4(6+7m)

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Solution for 5(2m+3)=4(6+7m) equation:


Simplifying
5(2m + 3) = 4(6 + 7m)

Reorder the terms:
5(3 + 2m) = 4(6 + 7m)
(3 * 5 + 2m * 5) = 4(6 + 7m)
(15 + 10m) = 4(6 + 7m)
15 + 10m = (6 * 4 + 7m * 4)
15 + 10m = (24 + 28m)

Solving
15 + 10m = 24 + 28m

Solving for variable 'm'.

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

Add '-28m' to each side of the equation.
15 + 10m + -28m = 24 + 28m + -28m

Combine like terms: 10m + -28m = -18m
15 + -18m = 24 + 28m + -28m

Combine like terms: 28m + -28m = 0
15 + -18m = 24 + 0
15 + -18m = 24

Add '-15' to each side of the equation.
15 + -15 + -18m = 24 + -15

Combine like terms: 15 + -15 = 0
0 + -18m = 24 + -15
-18m = 24 + -15

Combine like terms: 24 + -15 = 9
-18m = 9

Divide each side by '-18'.
m = -0.5

Simplifying
m = -0.5

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