5(m-3)+2(m+4)=8

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Solution for 5(m-3)+2(m+4)=8 equation:


Simplifying
5(m + -3) + 2(m + 4) = 8

Reorder the terms:
5(-3 + m) + 2(m + 4) = 8
(-3 * 5 + m * 5) + 2(m + 4) = 8
(-15 + 5m) + 2(m + 4) = 8

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

Reorder the terms:
-15 + 8 + 5m + 2m = 8

Combine like terms: -15 + 8 = -7
-7 + 5m + 2m = 8

Combine like terms: 5m + 2m = 7m
-7 + 7m = 8

Solving
-7 + 7m = 8

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 + 7m = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 7m = 8 + 7
7m = 8 + 7

Combine like terms: 8 + 7 = 15
7m = 15

Divide each side by '7'.
m = 2.142857143

Simplifying
m = 2.142857143

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