Solve x-1/4-1=x-6/5

$$\frac{ x-1 }{ 4 } -1= \frac{ x-6 }{ 5 }$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$5\left(x-1\right)-20=4\left(x-6\right)$$

Use the distributive property to multiply 5 by x-1.

$$5x-5-20=4\left(x-6\right)$$

Subtract 20 from -5 to get -25.

$$5x-25=4\left(x-6\right)$$

Use the distributive property to multiply 4 by x-6.

$$5x-25=4x-24$$

Subtract 4x from both sides.

$$5x-25-4x=-24$$

Combine 5x and -4x to get x.

$$x-25=-24$$

Add 25 to both sides.

$$x=-24+25$$

Add -24 and 25 to get 1.

$$x=1$$