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

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


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

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

Reorder the terms:
10 + 4m = -2 + 8m

Solving
10 + 4m = -2 + 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.
10 + 4m + -8m = -2 + 8m + -8m

Combine like terms: 4m + -8m = -4m
10 + -4m = -2 + 8m + -8m

Combine like terms: 8m + -8m = 0
10 + -4m = -2 + 0
10 + -4m = -2

Add '-10' to each side of the equation.
10 + -10 + -4m = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -4m = -2 + -10
-4m = -2 + -10

Combine like terms: -2 + -10 = -12
-4m = -12

Divide each side by '-4'.
m = 3

Simplifying
m = 3

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