Calculate the value of x: (2x-6)/(1001)+(2x-5)/(1002)+(2x-4)/(1003)=3

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Calculate the value of  x: (2x-6)/(1001)+(2x-5)/(1002)+(2x-4)/(1003)=3

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Write Equation: Write down the equation. (2x-6)/(1001) + (2x-5)/(1002) + (2x-4)/(1003) = 3Find Common Denominator: Find a common denominator for the fractions. The common denominator for 1001, 1002, and 1003 is their product, which is 1001*1002*1003.Express with Common Denominator: Express each fraction with the common denominator. (2x-6)*(1002*1003)/(1001*1002*1003) + (2x-5)*(1001*1003)/(1001*1002*1003) + (2x-4)*(1001*1002)/(1001*1002*1003) = 3Combine Fractions: Combine the fractions. [(2x-6)*(1002*1003) + (2x-5)*(1001*1003) + (2x-4)*(1001*1002)] / (1001*1002*1003) = 3Multiply by Common Denominator: Multiply both sides of the equation by the common denominator to clear the fractions. (2x-6)*(1002*1003) + (2x-5)*(1001*1003) + (2x-4)*(1001*1002) = 3*(1001*1002*1003)Simplify Left Side: Distribute and simplify the left side of the equation. (2x*1002*1003 - 6*1002*1003) + (2x*1001*1003 - 5*1001*1003) + (2x*1001*1002 - 4*1001*1002) = 3*(1001*1002*1003)Combine Like Terms: Combine like terms on the left side of the equation. (2x*(1002*1003 + 1001*1003 + 1001*1002)) - (6*1002*1003 + 5*1001*1003 + 4*1001*1002) = 3*(1001*1002*1003)Calculate Constants: Calculate the constants on the left side of the equation. Let's calculate the constant term separately: - (6*1002*1003 + 5*1001*1003 + 4*1001*1002) This calculation is complex and prone to error, so we will use a calculator to ensure accuracy.Calculate Constant Term: Calculate the constant term. - (6*1002*1003 + 5*1001*1003 + 4*1001*1002) = - (6024018 + 5015005 + 4008008) = - (6024018 + 5015005 + 4008008) = - (15047031)Write Simplified Equation: Write down the simplified equation. (2x*(1002*1003 + 1001*1003 + 1001*1002)) - 15047031 = 3*(1001*1002*1003)Calculate Coefficient: Calculate the coefficient of 2x. 1002*1003 + 1001*1003 + 1001*1002 = 1005006 + 1004003 + 1003002 = 3012011Write Equation with Coefficient: Write down the equation with the calculated coefficient. (2x*3012011) - 15047031 = 3*(1001*1002*1003)Divide by Coefficient: Divide both sides of the equation by the coefficient of 2x to solve for x. 2x = (3*(1001*1002*1003) + 15047031) / 3012011Calculate Right Side: Calculate the right side of the equation. We will use a calculator to ensure accuracy. 3*(1001*1002*1003) + 15047031 = 3*(1006012003) + 15047031 = 3018036009 + 15047031 = 3033583040Divide by Coefficient: Divide the result by the coefficient of 2x. x = 3033583040 / (2*3012011)Calculate Value of x: Calculate the value of x. x = 3033583040 / 6024022 x ≈ 503.5

Calculate the value of x: $\frac{2x-6}{1001}+\frac{2x-5}{1002}+\frac{2x-4}{1003}=3$

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Calculate the value of x: 2x−61001+2x−51002+2x−41003=3\frac{2x-6}{1001}+\frac{2x-5}{1002}+\frac{2x-4}{1003}=310012x−6​+10022x−5​+10032x−4​=3

Calculate the value of x: $\frac{2x-6}{1001}+\frac{2x-5}{1002}+\frac{2x-4}{1003}=3$