Solve 24-x=(2*1/5)*x

$$24 - x = ( 2 \times \frac { 1 } { 5 } ) \times x$$

Solve for x

$$x = \frac{120}{7} = 17\frac{1}{7} \approx 17.142857143$$

Steps for Solving Linear Equation

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

$$24-x=\frac{2}{5}x$$

Subtract \frac{2}{5}x from both sides.

$$24-x-\frac{2}{5}x=0$$

Combine -x and -\frac{2}{5}x to get -\frac{7}{5}x.

$$24-\frac{7}{5}x=0$$

Subtract 24 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{7}{5}x=-24$$

Multiply both sides by -\frac{5}{7}, the reciprocal of -\frac{7}{5}.

$$x=-24\left(-\frac{5}{7}\right)$$

Express -24\left(-\frac{5}{7}\right) as a single fraction.

$$x=\frac{-24\left(-5\right)}{7}$$

Multiply -24 and -5 to get 120.

$$x=\frac{120}{7}$$