Solve x+1/5=x-3/4-1

$$\frac { x + 1 } { 5 } = \frac { x - 3 } { 4 } - 1$$

Solve for x

$$x=39$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 5,4.

$$4\left(x+1\right)=5\left(x-3\right)-20$$

Use the distributive property to multiply 4 by x+1.

$$4x+4=5\left(x-3\right)-20$$

Use the distributive property to multiply 5 by x-3.

$$4x+4=5x-15-20$$

Subtract 20 from -15 to get -35.

$$4x+4=5x-35$$

Subtract 5x from both sides.

$$4x+4-5x=-35$$

Combine 4x and -5x to get -x.

$$-x+4=-35$$

Subtract 4 from both sides.

$$-x=-35-4$$

Subtract 4 from -35 to get -39.

$$-x=-39$$

Multiply both sides by -1.

$$x=39$$