Solve 4/7x+2/3*8/7x+8=x

$$\frac { 4 } { 7 } x + \frac { 2 } { 3 } \cdot \frac { 8 } { 7 } x + 8 = x$$

Solve for x

$$x=-24$$

Steps for Solving Linear Equation

Multiply \frac{2}{3} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{7}x+\frac{2\times 8}{3\times 7}x+8=x$$

Do the multiplications in the fraction \frac{2\times 8}{3\times 7}.

$$\frac{4}{7}x+\frac{16}{21}x+8=x$$

Combine \frac{4}{7}x and \frac{16}{21}x to get \frac{4}{3}x.

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

Subtract x from both sides.

$$\frac{4}{3}x+8-x=0$$

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

$$\frac{1}{3}x+8=0$$

Subtract 8 from both sides. Anything subtracted from zero gives its negation.

$$\frac{1}{3}x=-8$$

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

$$x=-8\times 3$$

Multiply -8 and 3 to get -24.

$$x=-24$$