5(m+3)-4(m+2)=10

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Solution for 5(m+3)-4(m+2)=10 equation: 


Simplifying
5(m + 3) + -4(m + 2) = 10

Reorder the terms:
5(3 + m) + -4(m + 2) = 10
(3 * 5 + m * 5) + -4(m + 2) = 10
(15 + 5m) + -4(m + 2) = 10

Reorder the terms:
15 + 5m + -4(2 + m) = 10
15 + 5m + (2 * -4 + m * -4) = 10
15 + 5m + (-8 + -4m) = 10

Reorder the terms:
15 + -8 + 5m + -4m = 10

Combine like terms: 15 + -8 = 7
7 + 5m + -4m = 10

Combine like terms: 5m + -4m = 1m
7 + 1m = 10

Solving
7 + 1m = 10

Solving for variable 'm'.

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

Add '-7' to each side of the equation.
7 + -7 + 1m = 10 + -7

Combine like terms: 7 + -7 = 0
0 + 1m = 10 + -7
1m = 10 + -7

Combine like terms: 10 + -7 = 3
1m = 3

Divide each side by '1'.
m = 3

Simplifying
m = 3

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