Solve 16/3x-2/7+17/3x=-30/7+frac{16}{3}x+frac{7}{3}x

$$\frac { 16 } { 3 } x - \frac { 2 } { 7 } + \frac { 17 } { 3 } x = - \frac { 30 } { 7 } + \frac { 16 } { 3 } x + \frac { 7 } { 3 } x$$

Solve for x

$$x = -\frac{6}{5} = -1\frac{1}{5} = -1.2$$

Steps for Solving Linear Equation

Combine \frac{16}{3}x and \frac{17}{3}x to get 11x.

$$11x-\frac{2}{7}=-\frac{30}{7}+\frac{16}{3}x+\frac{7}{3}x$$

Combine \frac{16}{3}x and \frac{7}{3}x to get \frac{23}{3}x.

$$11x-\frac{2}{7}=-\frac{30}{7}+\frac{23}{3}x$$

Subtract \frac{23}{3}x from both sides.

$$11x-\frac{2}{7}-\frac{23}{3}x=-\frac{30}{7}$$

Combine 11x and -\frac{23}{3}x to get \frac{10}{3}x.

$$\frac{10}{3}x-\frac{2}{7}=-\frac{30}{7}$$

Add \frac{2}{7} to both sides.

$$\frac{10}{3}x=-\frac{30}{7}+\frac{2}{7}$$

Since -\frac{30}{7} and \frac{2}{7} have the same denominator, add them by adding their numerators.

$$\frac{10}{3}x=\frac{-30+2}{7}$$

Add -30 and 2 to get -28.

$$\frac{10}{3}x=\frac{-28}{7}$$

Divide -28 by 7 to get -4.

$$\frac{10}{3}x=-4$$

Multiply both sides by \frac{3}{10}, the reciprocal of \frac{10}{3}.

$$x=-4\times \frac{3}{10}$$

Express -4\times \frac{3}{10} as a single fraction.

$$x=\frac{-4\times 3}{10}$$

Multiply -4 and 3 to get -12.

$$x=\frac{-12}{10}$$

Reduce the fraction \frac{-12}{10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{6}{5}$$