Solve 3x-4/2=9/4

$$\frac { 3 x - 4 } { 2 } = \frac { 9 } { 4 }$$

Solve for x

$$x = \frac{17}{6} = 2\frac{5}{6} \approx 2.833333333$$

Steps for Solving Linear Equation

Multiply both sides by 2.

$$3x-4=\frac{9}{4}\times 2$$

Express \frac{9}{4}\times 2 as a single fraction.

$$3x-4=\frac{9\times 2}{4}$$

Multiply 9 and 2 to get 18.

$$3x-4=\frac{18}{4}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$3x-4=\frac{9}{2}$$

Add 4 to both sides.

$$3x=\frac{9}{2}+4$$

Convert 4 to fraction \frac{8}{2}.

$$3x=\frac{9}{2}+\frac{8}{2}$$

Since \frac{9}{2} and \frac{8}{2} have the same denominator, add them by adding their numerators.

$$3x=\frac{9+8}{2}$$

Add 9 and 8 to get 17.

$$3x=\frac{17}{2}$$

Divide both sides by 3.

$$x=\frac{\frac{17}{2}}{3}$$

Express \frac{\frac{17}{2}}{3} as a single fraction.

$$x=\frac{17}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$x=\frac{17}{6}$$