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Solve for 
x.

(9)/(5)-(8)/(5x)=2
Answer: 
x=

Solve for x x .\newline9585x=2 \frac{9}{5}-\frac{8}{5 x}=2 \newlineAnswer: x= x=

Full solution

Q. Solve for x x .\newline9585x=2 \frac{9}{5}-\frac{8}{5 x}=2 \newlineAnswer: x= x=
  1. Combine terms: Combine the terms with xx on one side and the constant terms on the other side.\newlineTo do this, we will add 85x\frac{8}{5}x to both sides of the equation.\newline9585x+85x=2+85x\frac{9}{5} - \frac{8}{5}x + \frac{8}{5}x = 2 + \frac{8}{5}x
  2. Simplify equation: Simplify both sides of the equation.\newlineOn the left side, the terms (85x)(\frac{8}{5}x) cancel out, leaving us with 95\frac{9}{5}. On the right side, we have 2+(85x)2 + (\frac{8}{5}x).\newline95=2+(85x)\frac{9}{5} = 2 + (\frac{8}{5}x)
  3. Convert whole number: Convert the whole number 22 to a fraction with the same denominator as 95\frac{9}{5} to combine the terms.\newline22 can be written as 105\frac{10}{5} because 2×55=1052 \times \frac{5}{5} = \frac{10}{5}.\newline95=105+85x\frac{9}{5} = \frac{10}{5} + \frac{8}{5}x
  4. Subtract to isolate: Subtract (10/5)(10/5) from both sides to isolate the term with xx.95(105)=(105)+(85x)(105)\frac{9}{5} - \left(\frac{10}{5}\right) = \left(\frac{10}{5}\right) + \left(\frac{8}{5}x\right) - \left(\frac{10}{5}\right)
  5. Simplify equation: Simplify both sides of the equation.\newlineOn the left side, we have (95)(105)(\frac{9}{5}) - (\frac{10}{5}) which is (15)(-\frac{1}{5}). On the right side, the (105)(\frac{10}{5}) cancels out, leaving us with (85x)(\frac{8}{5}x).\newline(15)=(85x)(-\frac{1}{5}) = (\frac{8}{5}x)
  6. Multiply by reciprocal: Multiply both sides by the reciprocal of (85)(\frac{8}{5}) to solve for xx. The reciprocal of (85)(\frac{8}{5}) is (58)(\frac{5}{8}), so we multiply both sides by (58)(\frac{5}{8}). (15)×(58)=(85x)×(58)(-\frac{1}{5}) \times (\frac{5}{8}) = (\frac{8}{5}x) \times (\frac{5}{8})
  7. Simplify result: Simplify both sides of the equation.\newlineOn the left side, the 5s5s cancel out and we are left with 1×18-1 \times \frac{1}{8}, which is 18-\frac{1}{8}. On the right side, the 8s8s and the 5s5s cancel out, leaving us with xx.\newline(18)=x(-\frac{1}{8}) = x