5(m+2)-6(m-3)=53

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Solution for 5(m+2)-6(m-3)=53 equation:


Simplifying
5(m + 2) + -6(m + -3) = 53

Reorder the terms:
5(2 + m) + -6(m + -3) = 53
(2 * 5 + m * 5) + -6(m + -3) = 53
(10 + 5m) + -6(m + -3) = 53

Reorder the terms:
10 + 5m + -6(-3 + m) = 53
10 + 5m + (-3 * -6 + m * -6) = 53
10 + 5m + (18 + -6m) = 53

Reorder the terms:
10 + 18 + 5m + -6m = 53

Combine like terms: 10 + 18 = 28
28 + 5m + -6m = 53

Combine like terms: 5m + -6m = -1m
28 + -1m = 53

Solving
28 + -1m = 53

Solving for variable 'm'.

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

Add '-28' to each side of the equation.
28 + -28 + -1m = 53 + -28

Combine like terms: 28 + -28 = 0
0 + -1m = 53 + -28
-1m = 53 + -28

Combine like terms: 53 + -28 = 25
-1m = 25

Divide each side by '-1'.
m = -25

Simplifying
m = -25

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