3m+7+5(2m-3)=(3m+3)

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


Simplifying
3m + 7 + 5(2m + -3) = (3m + 3)

Reorder the terms:
3m + 7 + 5(-3 + 2m) = (3m + 3)
3m + 7 + (-3 * 5 + 2m * 5) = (3m + 3)
3m + 7 + (-15 + 10m) = (3m + 3)

Reorder the terms:
7 + -15 + 3m + 10m = (3m + 3)

Combine like terms: 7 + -15 = -8
-8 + 3m + 10m = (3m + 3)

Combine like terms: 3m + 10m = 13m
-8 + 13m = (3m + 3)

Reorder the terms:
-8 + 13m = (3 + 3m)

Remove parenthesis around (3 + 3m)
-8 + 13m = 3 + 3m

Solving
-8 + 13m = 3 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-8 + 13m + -3m = 3 + 3m + -3m

Combine like terms: 13m + -3m = 10m
-8 + 10m = 3 + 3m + -3m

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

Add '8' to each side of the equation.
-8 + 8 + 10m = 3 + 8

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

Combine like terms: 3 + 8 = 11
10m = 11

Divide each side by '10'.
m = 1.1

Simplifying
m = 1.1

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