5(m-2)=8(m-2)

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Solution for 5(m-2)=8(m-2) equation:


Simplifying
5(m + -2) = 8(m + -2)

Reorder the terms:
5(-2 + m) = 8(m + -2)
(-2 * 5 + m * 5) = 8(m + -2)
(-10 + 5m) = 8(m + -2)

Reorder the terms:
-10 + 5m = 8(-2 + m)
-10 + 5m = (-2 * 8 + m * 8)
-10 + 5m = (-16 + 8m)

Solving
-10 + 5m = -16 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
-10 + 5m + -8m = -16 + 8m + -8m

Combine like terms: 5m + -8m = -3m
-10 + -3m = -16 + 8m + -8m

Combine like terms: 8m + -8m = 0
-10 + -3m = -16 + 0
-10 + -3m = -16

Add '10' to each side of the equation.
-10 + 10 + -3m = -16 + 10

Combine like terms: -10 + 10 = 0
0 + -3m = -16 + 10
-3m = -16 + 10

Combine like terms: -16 + 10 = -6
-3m = -6

Divide each side by '-3'.
m = 2

Simplifying
m = 2

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