Solve 23/5x+8=2-x

$$2 \frac { 3 } { 5 } x + 8 = 2 - x$$

Solve for x

$$x = -\frac{5}{3} = -1\frac{2}{3} \approx -1.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$\left(2\times 5+3\right)x+40=10-5x$$

Multiply 2 and 5 to get 10.

$$\left(10+3\right)x+40=10-5x$$

Add 10 and 3 to get 13.

$$13x+40=10-5x$$

Add 5x to both sides.

$$13x+40+5x=10$$

Combine 13x and 5x to get 18x.

$$18x+40=10$$

Subtract 40 from both sides.

$$18x=10-40$$

Subtract 40 from 10 to get -30.

$$18x=-30$$

Divide both sides by 18.

$$x=\frac{-30}{18}$$

Reduce the fraction \frac{-30}{18} to lowest terms by extracting and canceling out 6.

$$x=-\frac{5}{3}$$