Solve 2x-1/5=1/2

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

Solve for x

$$x = \frac{7}{4} = 1\frac{3}{4} = 1.75$$

Steps for Solving Linear Equation

Multiply both sides by 5.

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

Multiply \frac{1}{2} and 5 to get \frac{5}{2}.

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

Add 1 to both sides.

$$2x=\frac{5}{2}+1$$

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

$$2x=\frac{5}{2}+\frac{2}{2}$$

Since \frac{5}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

$$2x=\frac{5+2}{2}$$

Add 5 and 2 to get 7.

$$2x=\frac{7}{2}$$

Divide both sides by 2.

$$x=\frac{\frac{7}{2}}{2}$$

Express \frac{\frac{7}{2}}{2} as a single fraction.

$$x=\frac{7}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$x=\frac{7}{4}$$