Solve x+1/5=x/3+5

$$\frac { x + 1 } { 5 } = \frac { x } { 3 } + 5$$

Solve for x

$$x=-36$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\left(x+1\right)=5x+75$$

Use the distributive property to multiply 3 by x+1.

$$3x+3=5x+75$$

Subtract 5x from both sides.

$$3x+3-5x=75$$

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

$$-2x+3=75$$

Subtract 3 from both sides.

$$-2x=75-3$$

Subtract 3 from 75 to get 72.

$$-2x=72$$

Divide both sides by -2.

$$x=\frac{72}{-2}$$

Divide 72 by -2 to get -36.

$$x=-36$$