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Expand the right side:
1/3x + 1/2 = 6/4x - 10
Simplify as 6/4 is 3/2
x/3 + 1/2 = 3x/2 - 10
Common denominator of 2 and 3 is 6. So we have:
2x/6 + 1/2 = 9x/6 -10
Subtract 2x/6 from each side
7x/6 - 10 = 1/2
Add 10 to each side. 10 is 20/2
7x/6 = 21/2
Using our
proportion calculator, we get:
x = 9