Solve 3*(-393546+60433*(x-298))+4*(-241845+51143*(x-298))+5*376*35988*(x-298)=-103847

$$3 \times (-393546+60433 \times (x-298))+4 \times (-241845+51143 \times (x-298))+5 \times 376 \times 35988 \times (x-298)=-103847$$

Solve for x

$$x = \frac{20278950849}{68043311} = 298\frac{2044171}{68043311} \approx 298.030042204$$

Steps for Solving Linear Equation

Use the distributive property to multiply 60433 by x-298.

$$3\left(-393546+60433x-18009034\right)+4\left(-241845+51143\left(x-298\right)\right)+5\times 376\times 35988\left(x-298\right)=-103847$$

Subtract 18009034 from -393546 to get -18402580.

$$3\left(-18402580+60433x\right)+4\left(-241845+51143\left(x-298\right)\right)+5\times 376\times 35988\left(x-298\right)=-103847$$

Use the distributive property to multiply 3 by -18402580+60433x.

$$-55207740+181299x+4\left(-241845+51143\left(x-298\right)\right)+5\times 376\times 35988\left(x-298\right)=-103847$$

Use the distributive property to multiply 51143 by x-298.

$$-55207740+181299x+4\left(-241845+51143x-15240614\right)+5\times 376\times 35988\left(x-298\right)=-103847$$

Subtract 15240614 from -241845 to get -15482459.

$$-55207740+181299x+4\left(-15482459+51143x\right)+5\times 376\times 35988\left(x-298\right)=-103847$$

Use the distributive property to multiply 4 by -15482459+51143x.

$$-55207740+181299x-61929836+204572x+5\times 376\times 35988\left(x-298\right)=-103847$$

Subtract 61929836 from -55207740 to get -117137576.

$$-117137576+181299x+204572x+5\times 376\times 35988\left(x-298\right)=-103847$$

Combine 181299x and 204572x to get 385871x.

$$-117137576+385871x+5\times 376\times 35988\left(x-298\right)=-103847$$

Multiply 5 and 376 to get 1880.

$$-117137576+385871x+1880\times 35988\left(x-298\right)=-103847$$

Multiply 1880 and 35988 to get 67657440.

$$-117137576+385871x+67657440\left(x-298\right)=-103847$$

Use the distributive property to multiply 67657440 by x-298.

$$-117137576+385871x+67657440x-20161917120=-103847$$

Combine 385871x and 67657440x to get 68043311x.

$$-117137576+68043311x-20161917120=-103847$$

Subtract 20161917120 from -117137576 to get -20279054696.

$$-20279054696+68043311x=-103847$$

Add 20279054696 to both sides.

$$68043311x=-103847+20279054696$$

Add -103847 and 20279054696 to get 20278950849.

$$68043311x=20278950849$$

Divide both sides by 68043311.

$$x=\frac{20278950849}{68043311}$$