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

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

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 3 by x-4.

$$3x-12+5\left(x-3\right)=5$$

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

$$3x-12+5x-15=5$$

Combine 3x and 5x to get 8x.

$$8x-12-15=5$$

Subtract 15 from -12 to get -27.

$$8x-27=5$$

Add 27 to both sides.

$$8x=5+27$$

Add 5 and 27 to get 32.

$$8x=32$$

Divide both sides by 8.

$$x=\frac{32}{8}$$

Divide 32 by 8 to get 4.

$$x=4$$