5(3m-8)=7(m-8)

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Solution for 5(3m-8)=7(m-8) equation:


Simplifying
5(3m + -8) = 7(m + -8)

Reorder the terms:
5(-8 + 3m) = 7(m + -8)
(-8 * 5 + 3m * 5) = 7(m + -8)
(-40 + 15m) = 7(m + -8)

Reorder the terms:
-40 + 15m = 7(-8 + m)
-40 + 15m = (-8 * 7 + m * 7)
-40 + 15m = (-56 + 7m)

Solving
-40 + 15m = -56 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
-40 + 15m + -7m = -56 + 7m + -7m

Combine like terms: 15m + -7m = 8m
-40 + 8m = -56 + 7m + -7m

Combine like terms: 7m + -7m = 0
-40 + 8m = -56 + 0
-40 + 8m = -56

Add '40' to each side of the equation.
-40 + 40 + 8m = -56 + 40

Combine like terms: -40 + 40 = 0
0 + 8m = -56 + 40
8m = -56 + 40

Combine like terms: -56 + 40 = -16
8m = -16

Divide each side by '8'.
m = -2

Simplifying
m = -2

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