Solve 5x+800/275+200=1200

$$5 x + \frac { 800 } { 275 } + 200 = 1200$$

Solve for x

$$x = \frac{10968}{55} = 199\frac{23}{55} \approx 199.418181818$$

Steps for Solving Linear Equation

Reduce the fraction \frac{800}{275} to lowest terms by extracting and canceling out 25.

$$5x+\frac{32}{11}+200=1200$$

Convert 200 to fraction \frac{2200}{11}.

$$5x+\frac{32}{11}+\frac{2200}{11}=1200$$

Since \frac{32}{11} and \frac{2200}{11} have the same denominator, add them by adding their numerators.

$$5x+\frac{32+2200}{11}=1200$$

Add 32 and 2200 to get 2232.

$$5x+\frac{2232}{11}=1200$$

Subtract \frac{2232}{11} from both sides.

$$5x=1200-\frac{2232}{11}$$

Convert 1200 to fraction \frac{13200}{11}.

$$5x=\frac{13200}{11}-\frac{2232}{11}$$

Since \frac{13200}{11} and \frac{2232}{11} have the same denominator, subtract them by subtracting their numerators.

$$5x=\frac{13200-2232}{11}$$

Subtract 2232 from 13200 to get 10968.

$$5x=\frac{10968}{11}$$

Divide both sides by 5.

$$x=\frac{\frac{10968}{11}}{5}$$

Express \frac{\frac{10968}{11}}{5} as a single fraction.

$$x=\frac{10968}{11\times 5}$$

Multiply 11 and 5 to get 55.

$$x=\frac{10968}{55}$$