Solve 6/5:(2+2/5)=(1-3/8):x

$$\frac { 6 } { 5 } : ( 2 + \frac { 2 } { 5 } ) = ( 1 - \frac { 3 } { 8 } ) : x$$

Solve for x

$$x = \frac{5}{4} = 1\frac{1}{4} = 1.25$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$\frac{5}{12}x\times \frac{6}{5}=1-\frac{3}{8}$$

Multiply \frac{5}{12} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 6}{12\times 5}x=1-\frac{3}{8}$$

Cancel out 5 in both numerator and denominator.

$$\frac{6}{12}x=1-\frac{3}{8}$$

Reduce the fraction \frac{6}{12} to lowest terms by extracting and canceling out 6.

$$\frac{1}{2}x=1-\frac{3}{8}$$

Convert 1 to fraction \frac{8}{8}.

$$\frac{1}{2}x=\frac{8}{8}-\frac{3}{8}$$

Since \frac{8}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}x=\frac{8-3}{8}$$

Subtract 3 from 8 to get 5.

$$\frac{1}{2}x=\frac{5}{8}$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=\frac{5}{8}\times 2$$

Express \frac{5}{8}\times 2 as a single fraction.

$$x=\frac{5\times 2}{8}$$

Multiply 5 and 2 to get 10.

$$x=\frac{10}{8}$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

$$x=\frac{5}{4}$$