Solve for w
w=-7
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\left(w+10\right)\left(-2\right)=\left(w+5\right)\times 3
Variable w cannot be equal to any of the values -10,-5 since division by zero is not defined. Multiply both sides of the equation by \left(w+5\right)\left(w+10\right), the least common multiple of w+5,w+10.
-2w-20=\left(w+5\right)\times 3
Use the distributive property to multiply w+10 by -2.
-2w-20=3w+15
Use the distributive property to multiply w+5 by 3.
-2w-20-3w=15
Subtract 3w from both sides.
-5w-20=15
Combine -2w and -3w to get -5w.
-5w=15+20
Add 20 to both sides.
-5w=35
Add 15 and 20 to get 35.
w=\frac{35}{-5}
Divide both sides by -5.
w=-7
Divide 35 by -5 to get -7.
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