Solve x-1/4-x-5/20=x+5/9

$$\frac{ x-1 }{ 4 } - \frac{ x-5 }{ 20 } = \frac{ x+5 }{ 9 }$$

Solve for x

$$x = \frac{25}{4} = 6\frac{1}{4} = 6.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 180, the least common multiple of 4,20,9.

$$45\left(x-1\right)-9\left(x-5\right)=20\left(x+5\right)$$

Use the distributive property to multiply 45 by x-1.

$$45x-45-9\left(x-5\right)=20\left(x+5\right)$$

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

$$45x-45-9x+45=20\left(x+5\right)$$

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

$$36x-45+45=20\left(x+5\right)$$

Add -45 and 45 to get 0.

$$36x=20\left(x+5\right)$$

Use the distributive property to multiply 20 by x+5.

$$36x=20x+100$$

Subtract 20x from both sides.

$$36x-20x=100$$

Combine 36x and -20x to get 16x.

$$16x=100$$

Divide both sides by 16.

$$x=\frac{100}{16}$$

Reduce the fraction \frac{100}{16} to lowest terms by extracting and canceling out 4.

$$x=\frac{25}{4}$$