Solve 4/3x+24x=9/12+3x

$$\frac { 4 } { 3 } x + 24 x = \frac { 9 } { 12 } + 3 x$$

Solve for x

$$x=\frac{9}{268}\approx 0.03358209$$

Steps for Solving Linear Equation

Combine \frac{4}{3}x and 24x to get \frac{76}{3}x.

$$\frac{76}{3}x=\frac{9}{12}+3x$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$\frac{76}{3}x=\frac{3}{4}+3x$$

Subtract 3x from both sides.

$$\frac{76}{3}x-3x=\frac{3}{4}$$

Combine \frac{76}{3}x and -3x to get \frac{67}{3}x.

$$\frac{67}{3}x=\frac{3}{4}$$

Multiply both sides by \frac{3}{67}, the reciprocal of \frac{67}{3}.

$$x=\frac{3}{4}\times \frac{3}{67}$$

Multiply \frac{3}{4} times \frac{3}{67} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{3\times 3}{4\times 67}$$

Do the multiplications in the fraction \frac{3\times 3}{4\times 67}.

$$x=\frac{9}{268}$$