Solve 2/3x+4/8x+15=4

$$\frac { 2 } { 3 } x + \frac { 4 } { 8 } x + 15 = 4$$

Solve for x

$$x = -\frac{66}{7} = -9\frac{3}{7} \approx -9.428571429$$

Steps for Solving Linear Equation

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{2}{3}x+\frac{1}{2}x+15=4$$

Combine \frac{2}{3}x and \frac{1}{2}x to get \frac{7}{6}x.

$$\frac{7}{6}x+15=4$$

Subtract 15 from both sides.

$$\frac{7}{6}x=4-15$$

Subtract 15 from 4 to get -11.

$$\frac{7}{6}x=-11$$

Multiply both sides by \frac{6}{7}, the reciprocal of \frac{7}{6}.

$$x=-11\times \frac{6}{7}$$

Express -11\times \frac{6}{7} as a single fraction.

$$x=\frac{-11\times 6}{7}$$

Multiply -11 and 6 to get -66.

$$x=\frac{-66}{7}$$

Fraction \frac{-66}{7} can be rewritten as -\frac{66}{7} by extracting the negative sign.

$$x=-\frac{66}{7}$$