Solve 35-x=24-4/11x

$$35-x = 24- \frac{ 4 }{ 11 } x$$

Solve for x

$$x = \frac{121}{7} = 17\frac{2}{7} \approx 17.285714286$$

Steps for Solving Linear Equation

Add \frac{4}{11}x to both sides.

$$35-x+\frac{4}{11}x=24$$

Combine -x and \frac{4}{11}x to get -\frac{7}{11}x.

$$35-\frac{7}{11}x=24$$

Subtract 35 from both sides.

$$-\frac{7}{11}x=24-35$$

Subtract 35 from 24 to get -11.

$$-\frac{7}{11}x=-11$$

Multiply both sides by -\frac{11}{7}, the reciprocal of -\frac{7}{11}.

$$x=-11\left(-\frac{11}{7}\right)$$

Express -11\left(-\frac{11}{7}\right) as a single fraction.

$$x=\frac{-11\left(-11\right)}{7}$$

Multiply -11 and -11 to get 121.

$$x=\frac{121}{7}$$