5(m+3)2=2m+5

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


Simplifying
5(m + 3) * 2 = 2m + 5

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

Reorder the terms for easier multiplication:
5 * 2(3 + m) = 2m + 5

Multiply 5 * 2
10(3 + m) = 2m + 5
(3 * 10 + m * 10) = 2m + 5
(30 + 10m) = 2m + 5

Reorder the terms:
30 + 10m = 5 + 2m

Solving
30 + 10m = 5 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
30 + 10m + -2m = 5 + 2m + -2m

Combine like terms: 10m + -2m = 8m
30 + 8m = 5 + 2m + -2m

Combine like terms: 2m + -2m = 0
30 + 8m = 5 + 0
30 + 8m = 5

Add '-30' to each side of the equation.
30 + -30 + 8m = 5 + -30

Combine like terms: 30 + -30 = 0
0 + 8m = 5 + -30
8m = 5 + -30

Combine like terms: 5 + -30 = -25
8m = -25

Divide each side by '8'.
m = -3.125

Simplifying
m = -3.125

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