Solve 0.05left(2000+2xright)=0.04left(2300-6xright)

$$0.05 \left( 2000+2x \right) = 0.04 \left( 2300-6x \right)$$

Solve for x

$$x = -\frac{400}{17} = -23\frac{9}{17} \approx -23.529411765$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.05 by 2000+2x.

$$100+0.1x=0.04\left(2300-6x\right)$$

Use the distributive property to multiply 0.04 by 2300-6x.

$$100+0.1x=92-0.24x$$

Add 0.24x to both sides.

$$100+0.1x+0.24x=92$$

Combine 0.1x and 0.24x to get 0.34x.

$$100+0.34x=92$$

Subtract 100 from both sides.

$$0.34x=92-100$$

Subtract 100 from 92 to get -8.

$$0.34x=-8$$

Divide both sides by 0.34.

$$x=\frac{-8}{0.34}$$

Expand \frac{-8}{0.34} by multiplying both numerator and the denominator by 100.

$$x=\frac{-800}{34}$$

Reduce the fraction \frac{-800}{34} to lowest terms by extracting and canceling out 2.

$$x=-\frac{400}{17}$$