Solve (51/3-x):2=7*(-2)-8

$$( 5 \frac { 1 } { 3 } - x ) : 2 = 7 \cdot ( - 2 ) - 8$$

Solve for x

$$x = \frac{148}{3} = 49\frac{1}{3} \approx 49.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$\frac{5\times 3+1}{3}-x=14\left(-2\right)-16$$

Multiply 5 and 3 to get 15.

$$\frac{15+1}{3}-x=14\left(-2\right)-16$$

Add 15 and 1 to get 16.

$$\frac{16}{3}-x=14\left(-2\right)-16$$

Multiply 14 and -2 to get -28.

$$\frac{16}{3}-x=-28-16$$

Subtract 16 from -28 to get -44.

$$\frac{16}{3}-x=-44$$

Subtract \frac{16}{3} from both sides.

$$-x=-44-\frac{16}{3}$$

Convert -44 to fraction -\frac{132}{3}.

$$-x=-\frac{132}{3}-\frac{16}{3}$$

Since -\frac{132}{3} and \frac{16}{3} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{-132-16}{3}$$

Subtract 16 from -132 to get -148.

$$-x=-\frac{148}{3}$$

Multiply both sides by -1.

$$x=\frac{148}{3}$$