SOLUTION: Solve for x: 3x/2=2y-wx

Question 817279: Solve for x:
3x/2=2y-wx
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
equation is:
3x/2 = 2y - wx
multiply both sides of equation by 2 to get:
3x = 4y - 2wx
add 2wx to both sides of equation to get:
3x + 2wx = 4y
factor out the x on the left side of the equation to get:
x * (3 + 2w) = 4y
divide both sides of the equation by (3 + 2w) to get:
x = 4y / (3 + 2w)
that's your solution.
you can confirm the solution is correct by selecting values of y and w that gives you a solution for x.
i chose w = 1 and y = 5
when i replaced w with 1 and y with 5, the equation for x became:
x = 4(5) / (3 + 2(1)) which became x = 20 / 5 which became x = 4.
my solution for x was 4 when y = 5 and w = 1
i replaced all variables in the original equation by these values and i got:
3x / 2 = 2y - wx becomes:
3(4) / 2 = 2(5) - (1)(4) which becomes:
12 / 2 = 10 - 4 which becomes:
6 = 6 which is true confirming that the solution for x is valid.

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