Solve x+1/5=x-5/2

$$\frac { x + 1 } { 5 } = \frac { x - 5 } { 2 }$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,2.

$$2\left(x+1\right)=5\left(x-5\right)$$

Use the distributive property to multiply 2 by x+1.

$$2x+2=5\left(x-5\right)$$

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

$$2x+2=5x-25$$

Subtract 5x from both sides.

$$2x+2-5x=-25$$

Combine 2x and -5x to get -3x.

$$-3x+2=-25$$

Subtract 2 from both sides.

$$-3x=-25-2$$

Subtract 2 from -25 to get -27.

$$-3x=-27$$

Divide both sides by -3.

$$x=\frac{-27}{-3}$$

Divide -27 by -3 to get 9.

$$x=9$$