Solve for w
w=-10
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3w\times 2=\left(w-2\right)\times 5
Variable w cannot be equal to any of the values 0,2 since division by zero is not defined. Multiply both sides of the equation by 3w\left(w-2\right), the least common multiple of w-2,3w.
6w=\left(w-2\right)\times 5
Multiply 3 and 2 to get 6.
6w=5w-10
Use the distributive property to multiply w-2 by 5.
6w-5w=-10
Subtract 5w from both sides.
w=-10
Combine 6w and -5w to get w.
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