Solve x-6/3+x-5/5=1/5

$$\frac { x - 6 } { 3 } + \frac { x - 5 } { 5 } = \frac { 1 } { 5 }$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

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

$$5\left(x-6\right)+3\left(x-5\right)=3$$

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

$$5x-30+3\left(x-5\right)=3$$

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

$$5x-30+3x-15=3$$

Combine 5x and 3x to get 8x.

$$8x-30-15=3$$

Subtract 15 from -30 to get -45.

$$8x-45=3$$

Add 45 to both sides.

$$8x=3+45$$

Add 3 and 45 to get 48.

$$8x=48$$

Divide both sides by 8.

$$x=\frac{48}{8}$$

Divide 48 by 8 to get 6.

$$x=6$$