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

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


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

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

Combine like terms: 3 + 2 = 5
5 + 4m = 2m + 3(2m + 5)

Reorder the terms:
5 + 4m = 2m + 3(5 + 2m)
5 + 4m = 2m + (5 * 3 + 2m * 3)
5 + 4m = 2m + (15 + 6m)

Reorder the terms:
5 + 4m = 15 + 2m + 6m

Combine like terms: 2m + 6m = 8m
5 + 4m = 15 + 8m

Solving
5 + 4m = 15 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
5 + 4m + -8m = 15 + 8m + -8m

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

Combine like terms: 8m + -8m = 0
5 + -4m = 15 + 0
5 + -4m = 15

Add '-5' to each side of the equation.
5 + -5 + -4m = 15 + -5

Combine like terms: 5 + -5 = 0
0 + -4m = 15 + -5
-4m = 15 + -5

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

Divide each side by '-4'.
m = -2.5

Simplifying
m = -2.5

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