Solve x/6+5=1/5-x

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

Solve for x

$$x = -\frac{144}{35} = -4\frac{4}{35} \approx -4.114285714$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 6,5.

$$5x+150=6-30x$$

Add 30x to both sides.

$$5x+150+30x=6$$

Combine 5x and 30x to get 35x.

$$35x+150=6$$

Subtract 150 from both sides.

$$35x=6-150$$

Subtract 150 from 6 to get -144.

$$35x=-144$$

Divide both sides by 35.

$$x=\frac{-144}{35}$$

Fraction \frac{-144}{35} can be rewritten as -\frac{144}{35} by extracting the negative sign.

$$x=-\frac{144}{35}$$