Solve 1/3(7x-1)=1/4

$$\frac { 1 } { 3 } ( 7 x - 1 ) = \frac { 1 } { 4 }$$

Solve for x

$$x=\frac{1}{4}=0.25$$

Steps for Solving Linear Equation

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

$$7x-1=\frac{1}{4}\times 3$$

Multiply \frac{1}{4} and 3 to get \frac{3}{4}.

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

Add 1 to both sides.

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

Convert 1 to fraction \frac{4}{4}.

$$7x=\frac{3}{4}+\frac{4}{4}$$

Since \frac{3}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.

$$7x=\frac{3+4}{4}$$

Add 3 and 4 to get 7.

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

Divide both sides by 7.

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

Express \frac{\frac{7}{4}}{7} as a single fraction.

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

Cancel out 7 in both numerator and denominator.

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