Solve -3[(x)(-4)/frac{7{3}}[-4/6]]=-28

$$- 3 [ \frac { ( x ) ( - 4 ) } { \frac { 7 } { 3 } } [ \frac { - 4 } { 6 } ] ] = - 28$$

Solve for x

$$x = \frac{49}{6} = 8\frac{1}{6} \approx 8.166666667$$

Steps for Solving Linear Equation

Divide x\left(-4\right) by \frac{7}{3} to get x\left(-\frac{12}{7}\right).

$$-3x\left(-\frac{12}{7}\right)\times \frac{-4}{6}=-28$$

Express -3\left(-\frac{12}{7}\right) as a single fraction.

$$\frac{-3\left(-12\right)}{7}x\times \frac{-4}{6}=-28$$

Multiply -3 and -12 to get 36.

$$\frac{36}{7}x\times \frac{-4}{6}=-28$$

Reduce the fraction \frac{-4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{36}{7}x\left(-\frac{2}{3}\right)=-28$$

Multiply \frac{36}{7} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{36\left(-2\right)}{7\times 3}x=-28$$

Do the multiplications in the fraction \frac{36\left(-2\right)}{7\times 3}.

$$\frac{-72}{21}x=-28$$

Reduce the fraction \frac{-72}{21} to lowest terms by extracting and canceling out 3.

$$-\frac{24}{7}x=-28$$

Multiply both sides by -\frac{7}{24}, the reciprocal of -\frac{24}{7}.

$$x=-28\left(-\frac{7}{24}\right)$$

Express -28\left(-\frac{7}{24}\right) as a single fraction.

$$x=\frac{-28\left(-7\right)}{24}$$

Multiply -28 and -7 to get 196.

$$x=\frac{196}{24}$$

Reduce the fraction \frac{196}{24} to lowest terms by extracting and canceling out 4.

$$x=\frac{49}{6}$$