2(m-3)+10=3(m+1)-5

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Solution for 2(m-3)+10=3(m+1)-5 equation: 


Simplifying
2(m + -3) + 10 = 3(m + 1) + -5

Reorder the terms:
2(-3 + m) + 10 = 3(m + 1) + -5
(-3 * 2 + m * 2) + 10 = 3(m + 1) + -5
(-6 + 2m) + 10 = 3(m + 1) + -5

Reorder the terms:
-6 + 10 + 2m = 3(m + 1) + -5

Combine like terms: -6 + 10 = 4
4 + 2m = 3(m + 1) + -5

Reorder the terms:
4 + 2m = 3(1 + m) + -5
4 + 2m = (1 * 3 + m * 3) + -5
4 + 2m = (3 + 3m) + -5

Reorder the terms:
4 + 2m = 3 + -5 + 3m

Combine like terms: 3 + -5 = -2
4 + 2m = -2 + 3m

Solving
4 + 2m = -2 + 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.
4 + 2m + -3m = -2 + 3m + -3m

Combine like terms: 2m + -3m = -1m
4 + -1m = -2 + 3m + -3m

Combine like terms: 3m + -3m = 0
4 + -1m = -2 + 0
4 + -1m = -2

Add '-4' to each side of the equation.
4 + -4 + -1m = -2 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = -2 + -4
-1m = -2 + -4

Combine like terms: -2 + -4 = -6
-1m = -6

Divide each side by '-1'.
m = 6

Simplifying
m = 6

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