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Evaluate.
(5x)/(2)=11+(2x)/(3)

Evaluate.\newline5x2=11+2x3 \frac{5 x}{2}=11+\frac{2 x}{3}

Full solution

Q. Evaluate.\newline5x2=11+2x3 \frac{5 x}{2}=11+\frac{2 x}{3}
  1. Multiply by LCM: Multiply both sides of the equation by the least common multiple (LCM) of the denominators to eliminate the fractions.\newlineThe LCM of 22 and 33 is 66. So we multiply both sides by 66 to get:\newline6×(5x/2)=6×(11+2x/3)6 \times (5x/2) = 6 \times (11 + 2x/3)
  2. Distribute 66: Distribute the 66 on both sides of the equation.\newline6×5x2=6×11+6×2x3\frac{6 \times 5x}{2} = 6 \times 11 + \frac{6 \times 2x}{3}
  3. Simplify equation: Simplify both sides of the equation.\newline(3×5x)=66+(2×2x)(3 \times 5x) = 66 + (2 \times 2x)\newline15x=66+4x15x = 66 + 4x
  4. Subtract 4x4x: Subtract 4x4x from both sides to get all xx terms on one side.\newline15x4x=6615x - 4x = 66\newline11x=6611x = 66
  5. Divide by 1111: Divide both sides by 1111 to solve for xx.11x11=6611\frac{11x}{11} = \frac{66}{11}x=6x = 6

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