Solve 0.95(300-x)+0.95*150+0.9(x-150)=283.5

$$0.95 ( 300 - x ) + 0.95 \times 150 + 0.9 ( x - 150 ) = 283.5$$

Solve for x

$$x=180$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.95 by 300-x.

$$285-0.95x+0.95\times 150+0.9\left(x-150\right)=283.5$$

Multiply 0.95 and 150 to get 142.5.

$$285-0.95x+142.5+0.9\left(x-150\right)=283.5$$

Add 285 and 142.5 to get 427.5.

$$427.5-0.95x+0.9\left(x-150\right)=283.5$$

Use the distributive property to multiply 0.9 by x-150.

$$427.5-0.95x+0.9x-135=283.5$$

Combine -0.95x and 0.9x to get -0.05x.

$$427.5-0.05x-135=283.5$$

Subtract 135 from 427.5 to get 292.5.

$$292.5-0.05x=283.5$$

Subtract 292.5 from both sides.

$$-0.05x=283.5-292.5$$

Subtract 292.5 from 283.5 to get -9.

$$-0.05x=-9$$

Divide both sides by -0.05.

$$x=\frac{-9}{-0.05}$$

Expand \frac{-9}{-0.05} by multiplying both numerator and the denominator by 100.

$$x=\frac{-900}{-5}$$

Divide -900 by -5 to get 180.

$$x=180$$