2(m-1)+m=5(m-1)+3m

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Solution for 2(m-1)+m=5(m-1)+3m equation:


Simplifying
2(m + -1) + m = 5(m + -1) + 3m

Reorder the terms:
2(-1 + m) + m = 5(m + -1) + 3m
(-1 * 2 + m * 2) + m = 5(m + -1) + 3m
(-2 + 2m) + m = 5(m + -1) + 3m

Combine like terms: 2m + m = 3m
-2 + 3m = 5(m + -1) + 3m

Reorder the terms:
-2 + 3m = 5(-1 + m) + 3m
-2 + 3m = (-1 * 5 + m * 5) + 3m
-2 + 3m = (-5 + 5m) + 3m

Combine like terms: 5m + 3m = 8m
-2 + 3m = -5 + 8m

Solving
-2 + 3m = -5 + 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.
-2 + 3m + -8m = -5 + 8m + -8m

Combine like terms: 3m + -8m = -5m
-2 + -5m = -5 + 8m + -8m

Combine like terms: 8m + -8m = 0
-2 + -5m = -5 + 0
-2 + -5m = -5

Add '2' to each side of the equation.
-2 + 2 + -5m = -5 + 2

Combine like terms: -2 + 2 = 0
0 + -5m = -5 + 2
-5m = -5 + 2

Combine like terms: -5 + 2 = -3
-5m = -3

Divide each side by '-5'.
m = 0.6

Simplifying
m = 0.6

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