2m+3m+11=7+3(m-2)

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Solution for 2m+3m+11=7+3(m-2) equation:


Simplifying
2m + 3m + 11 = 7 + 3(m + -2)

Reorder the terms:
11 + 2m + 3m = 7 + 3(m + -2)

Combine like terms: 2m + 3m = 5m
11 + 5m = 7 + 3(m + -2)

Reorder the terms:
11 + 5m = 7 + 3(-2 + m)
11 + 5m = 7 + (-2 * 3 + m * 3)
11 + 5m = 7 + (-6 + 3m)

Combine like terms: 7 + -6 = 1
11 + 5m = 1 + 3m

Solving
11 + 5m = 1 + 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.
11 + 5m + -3m = 1 + 3m + -3m

Combine like terms: 5m + -3m = 2m
11 + 2m = 1 + 3m + -3m

Combine like terms: 3m + -3m = 0
11 + 2m = 1 + 0
11 + 2m = 1

Add '-11' to each side of the equation.
11 + -11 + 2m = 1 + -11

Combine like terms: 11 + -11 = 0
0 + 2m = 1 + -11
2m = 1 + -11

Combine like terms: 1 + -11 = -10
2m = -10

Divide each side by '2'.
m = -5

Simplifying
m = -5

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