5(2m-3)=6(m-4)

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


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

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

Reorder the terms:
-15 + 10m = 6(-4 + m)
-15 + 10m = (-4 * 6 + m * 6)
-15 + 10m = (-24 + 6m)

Solving
-15 + 10m = -24 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
-15 + 10m + -6m = -24 + 6m + -6m

Combine like terms: 10m + -6m = 4m
-15 + 4m = -24 + 6m + -6m

Combine like terms: 6m + -6m = 0
-15 + 4m = -24 + 0
-15 + 4m = -24

Add '15' to each side of the equation.
-15 + 15 + 4m = -24 + 15

Combine like terms: -15 + 15 = 0
0 + 4m = -24 + 15
4m = -24 + 15

Combine like terms: -24 + 15 = -9
4m = -9

Divide each side by '4'.
m = -2.25

Simplifying
m = -2.25

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