Solve (1200div6+1200div18+1200div18)x=1200

$$(1200 \div 6+1200 \div 18+1200 \div 18)x=1200$$

Solve for x

$$x = \frac{18}{5} = 3\frac{3}{5} = 3.6$$

Steps for Solving Linear Equation

Divide 1200 by 6 to get 200.

$$\left(200+\frac{1200}{18}+\frac{1200}{18}\right)x=1200$$

Reduce the fraction \frac{1200}{18} to lowest terms by extracting and canceling out 6.

$$\left(200+\frac{200}{3}+\frac{1200}{18}\right)x=1200$$

Convert 200 to fraction \frac{600}{3}.

$$\left(\frac{600}{3}+\frac{200}{3}+\frac{1200}{18}\right)x=1200$$

Since \frac{600}{3} and \frac{200}{3} have the same denominator, add them by adding their numerators.

$$\left(\frac{600+200}{3}+\frac{1200}{18}\right)x=1200$$

Add 600 and 200 to get 800.

$$\left(\frac{800}{3}+\frac{1200}{18}\right)x=1200$$

Reduce the fraction \frac{1200}{18} to lowest terms by extracting and canceling out 6.

$$\left(\frac{800}{3}+\frac{200}{3}\right)x=1200$$

Since \frac{800}{3} and \frac{200}{3} have the same denominator, add them by adding their numerators.

$$\frac{800+200}{3}x=1200$$

Add 800 and 200 to get 1000.

$$\frac{1000}{3}x=1200$$

Multiply both sides by \frac{3}{1000}, the reciprocal of \frac{1000}{3}.

$$x=1200\times \frac{3}{1000}$$

Express 1200\times \frac{3}{1000} as a single fraction.

$$x=\frac{1200\times 3}{1000}$$

Multiply 1200 and 3 to get 3600.

$$x=\frac{3600}{1000}$$

Reduce the fraction \frac{3600}{1000} to lowest terms by extracting and canceling out 200.

$$x=\frac{18}{5}$$