Solve x=30-0.25(60-x/3)

$$x=30-0.25(60- \frac{ x }{ 3 } )$$

Solve for x

$$x = \frac{180}{11} = 16\frac{4}{11} \approx 16.363636364$$

Steps for Solving Linear Equation

Add 0.25\left(60-\frac{x}{3}\right) to both sides.

$$x+0.25\left(60-\frac{x}{3}\right)=30$$

Use the distributive property to multiply 0.25 by 60-\frac{x}{3}.

$$x+15+0.25\left(-\frac{x}{3}\right)=30$$

Subtract 15 from both sides.

$$x+0.25\left(-\frac{x}{3}\right)=30-15$$

Subtract 15 from 30 to get 15.

$$x+0.25\left(-\frac{x}{3}\right)=15$$

Multiply both sides of the equation by 3.

$$3x+0.75\left(-\frac{x}{3}\right)=45$$

Multiply both sides of the equation by 3.

$$9x+2.25\left(-1\right)\times \frac{x}{3}=135$$

Multiply 2.25 and -1 to get -2.25.

$$9x-2.25\times \frac{x}{3}=135$$

Multiply both sides of the equation by 3.

$$27x-2.25x=405$$

Combine 27x and -2.25x to get 24.75x.

$$24.75x=405$$

Divide both sides by 24.75.

$$x=\frac{405}{24.75}$$

Expand \frac{405}{24.75} by multiplying both numerator and the denominator by 100.

$$x=\frac{40500}{2475}$$

Reduce the fraction \frac{40500}{2475} to lowest terms by extracting and canceling out 225.

$$x=\frac{180}{11}$$