2(m+5)-1=4m+13

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Solution for 2(m+5)-1=4m+13 equation:


Simplifying
2(m + 5) + -1 = 4m + 13

Reorder the terms:
2(5 + m) + -1 = 4m + 13
(5 * 2 + m * 2) + -1 = 4m + 13
(10 + 2m) + -1 = 4m + 13

Reorder the terms:
10 + -1 + 2m = 4m + 13

Combine like terms: 10 + -1 = 9
9 + 2m = 4m + 13

Reorder the terms:
9 + 2m = 13 + 4m

Solving
9 + 2m = 13 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
9 + 2m + -4m = 13 + 4m + -4m

Combine like terms: 2m + -4m = -2m
9 + -2m = 13 + 4m + -4m

Combine like terms: 4m + -4m = 0
9 + -2m = 13 + 0
9 + -2m = 13

Add '-9' to each side of the equation.
9 + -9 + -2m = 13 + -9

Combine like terms: 9 + -9 = 0
0 + -2m = 13 + -9
-2m = 13 + -9

Combine like terms: 13 + -9 = 4
-2m = 4

Divide each side by '-2'.
m = -2

Simplifying
m = -2

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