Solve 4.184*1000left(x-50right)=2*800left(x-0right)+800*333.3

$$4.184 \cdot 1000 \left( x-50 \right) = 2 \cdot 800 \left( x-0 \right) +800 \times 333.3$$

Solve for x

$$x = \frac{59480}{323} = 184\frac{48}{323} \approx 184.148606811$$

Steps for Solving Linear Equation

Multiply 4.184 and 1000 to get 4184.

$$4184\left(x-50\right)=2\times 800\left(x-0\right)+800\times 333.3$$

Use the distributive property to multiply 4184 by x-50.

$$4184x-209200=2\times 800\left(x-0\right)+800\times 333.3$$

Multiply 2 and 800 to get 1600.

$$4184x-209200=1600\left(x-0\right)+800\times 333.3$$

Multiply 800 and 333.3 to get 266640.

$$4184x-209200=1600\left(x-0\right)+266640$$

Subtract 1600\left(x-0\right) from both sides.

$$4184x-209200-1600\left(x-0\right)=266640$$

Reorder the terms.

$$4184x-209200-1600x=266640$$

Combine 4184x and -1600x to get 2584x.

$$2584x-209200=266640$$

Add 209200 to both sides.

$$2584x=266640+209200$$

Add 266640 and 209200 to get 475840.

$$2584x=475840$$

Divide both sides by 2584.

$$x=\frac{475840}{2584}$$

Reduce the fraction \frac{475840}{2584} to lowest terms by extracting and canceling out 8.

$$x=\frac{59480}{323}$$