-m-5(m+7)=-4m-21

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Solution for -m-5(m+7)=-4m-21 equation:


Simplifying
-1m + -5(m + 7) = -4m + -21

Reorder the terms:
-1m + -5(7 + m) = -4m + -21
-1m + (7 * -5 + m * -5) = -4m + -21
-1m + (-35 + -5m) = -4m + -21

Reorder the terms:
-35 + -1m + -5m = -4m + -21

Combine like terms: -1m + -5m = -6m
-35 + -6m = -4m + -21

Reorder the terms:
-35 + -6m = -21 + -4m

Solving
-35 + -6m = -21 + -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.
-35 + -6m + 4m = -21 + -4m + 4m

Combine like terms: -6m + 4m = -2m
-35 + -2m = -21 + -4m + 4m

Combine like terms: -4m + 4m = 0
-35 + -2m = -21 + 0
-35 + -2m = -21

Add '35' to each side of the equation.
-35 + 35 + -2m = -21 + 35

Combine like terms: -35 + 35 = 0
0 + -2m = -21 + 35
-2m = -21 + 35

Combine like terms: -21 + 35 = 14
-2m = 14

Divide each side by '-2'.
m = -7

Simplifying
m = -7

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