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

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

Solve for x

$$x=6$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 5 by x-6.

$$5x-30+4\left(x-5\right)=4$$

Use the distributive property to multiply 4 by x-5.

$$5x-30+4x-20=4$$

Combine 5x and 4x to get 9x.

$$9x-30-20=4$$

Subtract 20 from -30 to get -50.

$$9x-50=4$$

Add 50 to both sides.

$$9x=4+50$$

Add 4 and 50 to get 54.

$$9x=54$$

Divide both sides by 9.

$$x=\frac{54}{9}$$

Divide 54 by 9 to get 6.

$$x=6$$