Solve x-1-x-5/5=x+5/9

$$x - 1 - \frac { x - 5 } { 5 } = \frac { x + 5 } { 9 }$$

Solve for x

$$x=\frac{25}{31}\approx 0.806451613$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 45, the least common multiple of 5,9.

$$45x-45-9\left(x-5\right)=5\left(x+5\right)$$

Use the distributive property to multiply -9 by x-5.

$$45x-45-9x+45=5\left(x+5\right)$$

Combine 45x and -9x to get 36x.

$$36x-45+45=5\left(x+5\right)$$

Add -45 and 45 to get 0.

$$36x=5\left(x+5\right)$$

Use the distributive property to multiply 5 by x+5.

$$36x=5x+25$$

Subtract 5x from both sides.

$$36x-5x=25$$

Combine 36x and -5x to get 31x.

$$31x=25$$

Divide both sides by 31.

$$x=\frac{25}{31}$$