Solve 3*(-393546+60.433*(x-298))+4*(-241845+51.143*(x-298))+5*3.76*35.988*(x-298)=-103847

$$3 \times (-393546+60.433 \times (x-298))+4 \times (-241845+51.143 \times (x-298))+5 \times 3.76 \times 35.988 \times (x-298)=-103847$$

Solve for x

$$x = \frac{11803898646}{5312227} = 2222\frac{130252}{5312227} \approx 2222.024519284$$

Steps for Solving Linear Equation

Use the distributive property to multiply 60.433 by x-298.

$$3\left(-393546+60.433x-18009.034\right)+4\left(-241845+51.143\left(x-298\right)\right)+5\times 3.76\times 35.988\left(x-298\right)=-103847$$

Subtract 18009.034 from -393546 to get -411555.034.

$$3\left(-411555.034+60.433x\right)+4\left(-241845+51.143\left(x-298\right)\right)+5\times 3.76\times 35.988\left(x-298\right)=-103847$$

Use the distributive property to multiply 3 by -411555.034+60.433x.

$$-1234665.102+181.299x+4\left(-241845+51.143\left(x-298\right)\right)+5\times 3.76\times 35.988\left(x-298\right)=-103847$$

Use the distributive property to multiply 51.143 by x-298.

$$-1234665.102+181.299x+4\left(-241845+51.143x-15240.614\right)+5\times 3.76\times 35.988\left(x-298\right)=-103847$$

Subtract 15240.614 from -241845 to get -257085.614.

$$-1234665.102+181.299x+4\left(-257085.614+51.143x\right)+5\times 3.76\times 35.988\left(x-298\right)=-103847$$

Use the distributive property to multiply 4 by -257085.614+51.143x.

$$-1234665.102+181.299x-1028342.456+204.572x+5\times 3.76\times 35.988\left(x-298\right)=-103847$$

Subtract 1028342.456 from -1234665.102 to get -2263007.558.

$$-2263007.558+181.299x+204.572x+5\times 3.76\times 35.988\left(x-298\right)=-103847$$

Combine 181.299x and 204.572x to get 385.871x.

$$-2263007.558+385.871x+5\times 3.76\times 35.988\left(x-298\right)=-103847$$

Multiply 5 and 3.76 to get 18.8.

$$-2263007.558+385.871x+18.8\times 35.988\left(x-298\right)=-103847$$

Multiply 18.8 and 35.988 to get 676.5744.

$$-2263007.558+385.871x+676.5744\left(x-298\right)=-103847$$

Use the distributive property to multiply 676.5744 by x-298.

$$-2263007.558+385.871x+676.5744x-201619.1712=-103847$$

Combine 385.871x and 676.5744x to get 1062.4454x.

$$-2263007.558+1062.4454x-201619.1712=-103847$$

Subtract 201619.1712 from -2263007.558 to get -2464626.7292.

$$-2464626.7292+1062.4454x=-103847$$

Add 2464626.7292 to both sides.

$$1062.4454x=-103847+2464626.7292$$

Add -103847 and 2464626.7292 to get 2360779.7292.

$$1062.4454x=2360779.7292$$

Divide both sides by 1062.4454.

$$x=\frac{2360779.7292}{1062.4454}$$

Expand \frac{2360779.7292}{1062.4454} by multiplying both numerator and the denominator by 10000.

$$x=\frac{23607797292}{10624454}$$

Reduce the fraction \frac{23607797292}{10624454} to lowest terms by extracting and canceling out 2.

$$x=\frac{11803898646}{5312227}$$