Solve (2x-1):3=5:2

$$( 2 x - 1 ) : 3 = 5 : 2$$

Solve for x

$$x = \frac{17}{4} = 4\frac{1}{4} = 4.25$$

Steps for Solving Linear Equation

Multiply both sides by 3.

$$2x-1=\frac{5}{2}\times 3$$

Express \frac{5}{2}\times 3 as a single fraction.

$$2x-1=\frac{5\times 3}{2}$$

Multiply 5 and 3 to get 15.

$$2x-1=\frac{15}{2}$$

Add 1 to both sides.

$$2x=\frac{15}{2}+1$$

Convert 1 to fraction \frac{2}{2}.

$$2x=\frac{15}{2}+\frac{2}{2}$$

Since \frac{15}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

$$2x=\frac{15+2}{2}$$

Add 15 and 2 to get 17.

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

Divide both sides by 2.

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

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

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

Multiply 2 and 2 to get 4.

$$x=\frac{17}{4}$$