Solve x=4/3(14-x)

$$x= \frac{ 4 }{ 3 } (14-x)$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{4}{3} by 14-x.

$$x=\frac{4}{3}\times 14+\frac{4}{3}\left(-1\right)x$$

Express \frac{4}{3}\times 14 as a single fraction.

$$x=\frac{4\times 14}{3}+\frac{4}{3}\left(-1\right)x$$

Multiply 4 and 14 to get 56.

$$x=\frac{56}{3}+\frac{4}{3}\left(-1\right)x$$

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

$$x=\frac{56}{3}-\frac{4}{3}x$$

Add \frac{4}{3}x to both sides.

$$x+\frac{4}{3}x=\frac{56}{3}$$

Combine x and \frac{4}{3}x to get \frac{7}{3}x.

$$\frac{7}{3}x=\frac{56}{3}$$

Multiply both sides by \frac{3}{7}, the reciprocal of \frac{7}{3}.

$$x=\frac{56}{3}\times \frac{3}{7}$$

Multiply \frac{56}{3} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{56\times 3}{3\times 7}$$

Cancel out 3 in both numerator and denominator.

$$x=\frac{56}{7}$$

Divide 56 by 7 to get 8.

$$x=8$$