Solve 350-t/500+2t=0.23

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

Solve for t

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

Steps for Solving Linear Equation

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

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

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

$$350-t=0.46t+115$$

Subtract 0.46t from both sides.

$$350-t-0.46t=115$$

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

$$350-1.46t=115$$

Subtract 350 from both sides.

$$-1.46t=115-350$$

Subtract 350 from 115 to get -235.

$$-1.46t=-235$$

Divide both sides by -1.46.

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

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

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

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

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