Solve 0.05(2000+2x)=0.09(2300-6x)

$$0.05 ( 2000 + 2 x ) = 0.09 ( 2300 - 6 x )$$

Solve for x

$$x=167.1875$$

Steps for Solving Linear Equation

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

$$100+0.1x=0.09\left(2300-6x\right)$$

Use the distributive property to multiply 0.09 by 2300-6x.

$$100+0.1x=207-0.54x$$

Add 0.54x to both sides.

$$100+0.1x+0.54x=207$$

Combine 0.1x and 0.54x to get 0.64x.

$$100+0.64x=207$$

Subtract 100 from both sides.

$$0.64x=207-100$$

Subtract 100 from 207 to get 107.

$$0.64x=107$$

Divide both sides by 0.64.

$$x=\frac{107}{0.64}$$

Expand \frac{107}{0.64} by multiplying both numerator and the denominator by 100.

$$x=\frac{10700}{64}$$

Reduce the fraction \frac{10700}{64} to lowest terms by extracting and canceling out 4.

$$x=\frac{2675}{16}$$