Solve 350-x/500+2x=0.23

$$\frac { 350 - x } { 500 + 2 x } = 0.23$$

Solve for x

$$x = \frac{11750}{73} = 160\frac{70}{73} \approx 160.95890411$$

Steps for Solving Linear Equation

Variable x cannot be equal to -250 since division by zero is not defined. Multiply both sides of the equation by 2\left(x+250\right).

$$350-x=0.46\left(x+250\right)$$

Use the distributive property to multiply 0.46 by x+250.

$$350-x=0.46x+115$$

Subtract 0.46x from both sides.

$$350-x-0.46x=115$$

Combine -x and -0.46x to get -1.46x.

$$350-1.46x=115$$

Subtract 350 from both sides.

$$-1.46x=115-350$$

Subtract 350 from 115 to get -235.

$$-1.46x=-235$$

Divide both sides by -1.46.

$$x=\frac{-235}{-1.46}$$

Expand \frac{-235}{-1.46} by multiplying both numerator and the denominator by 100.

$$x=\frac{-23500}{-146}$$

Reduce the fraction \frac{-23500}{-146} to lowest terms by extracting and canceling out -2.

$$x=\frac{11750}{73}$$