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

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

Solve for x

$$x = \frac{36}{25} = 1\frac{11}{25} = 1.44$$

Steps for Solving Linear Equation

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

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

Cancel out 3 and 3.

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

Multiply \frac{4}{3} times -\frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{4\left(-4\right)}{3\times 3}.

$$4+\frac{-16}{9}x=x$$

Fraction \frac{-16}{9} can be rewritten as -\frac{16}{9} by extracting the negative sign.

$$4-\frac{16}{9}x=x$$

Subtract x from both sides.

$$4-\frac{16}{9}x-x=0$$

Combine -\frac{16}{9}x and -x to get -\frac{25}{9}x.

$$4-\frac{25}{9}x=0$$

Subtract 4 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{25}{9}x=-4$$

Multiply both sides by -\frac{9}{25}, the reciprocal of -\frac{25}{9}.

$$x=-4\left(-\frac{9}{25}\right)$$

Express -4\left(-\frac{9}{25}\right) as a single fraction.

$$x=\frac{-4\left(-9\right)}{25}$$

Multiply -4 and -9 to get 36.

$$x=\frac{36}{25}$$