2(m+3)-4=5m+5-6

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Solution for 2(m+3)-4=5m+5-6 equation:


Simplifying
2(m + 3) + -4 = 5m + 5 + -6

Reorder the terms:
2(3 + m) + -4 = 5m + 5 + -6
(3 * 2 + m * 2) + -4 = 5m + 5 + -6
(6 + 2m) + -4 = 5m + 5 + -6

Reorder the terms:
6 + -4 + 2m = 5m + 5 + -6

Combine like terms: 6 + -4 = 2
2 + 2m = 5m + 5 + -6

Reorder the terms:
2 + 2m = 5 + -6 + 5m

Combine like terms: 5 + -6 = -1
2 + 2m = -1 + 5m

Solving
2 + 2m = -1 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
2 + 2m + -5m = -1 + 5m + -5m

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

Combine like terms: 5m + -5m = 0
2 + -3m = -1 + 0
2 + -3m = -1

Add '-2' to each side of the equation.
2 + -2 + -3m = -1 + -2

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

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

Divide each side by '-3'.
m = 1

Simplifying
m = 1

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