Solve 3/2*3+2.75x=19/3

$$\frac { 3 } { 2 } \times 3 + 2.75 x = \frac { 19 } { 3 }$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Express \frac{3}{2}\times 3 as a single fraction.

$$\frac{3\times 3}{2}+2.75x=\frac{19}{3}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{2}+2.75x=\frac{19}{3}$$

Subtract \frac{9}{2} from both sides.

$$2.75x=\frac{19}{3}-\frac{9}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{19}{3} and \frac{9}{2} to fractions with denominator 6.

$$2.75x=\frac{38}{6}-\frac{27}{6}$$

Since \frac{38}{6} and \frac{27}{6} have the same denominator, subtract them by subtracting their numerators.

$$2.75x=\frac{38-27}{6}$$

Subtract 27 from 38 to get 11.

$$2.75x=\frac{11}{6}$$

Divide both sides by 2.75.

$$x=\frac{\frac{11}{6}}{2.75}$$

Express \frac{\frac{11}{6}}{2.75} as a single fraction.

$$x=\frac{11}{6\times 2.75}$$

Multiply 6 and 2.75 to get 16.5.

$$x=\frac{11}{16.5}$$

Expand \frac{11}{16.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{110}{165}$$

Reduce the fraction \frac{110}{165} to lowest terms by extracting and canceling out 55.

$$x=\frac{2}{3}$$