Solve w-2/5+w-4/3=3/5

$$\frac { w - 2 } { 5 } + \frac { w - 4 } { 3 } = \frac { 3 } { 5 }$$

Solve for w

$$w = \frac{35}{8} = 4\frac{3}{8} = 4.375$$

Steps for Solving Linear Equation

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

$$3\left(w-2\right)+5\left(w-4\right)=9$$

Use the distributive property to multiply 3 by w-2.

$$3w-6+5\left(w-4\right)=9$$

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

$$3w-6+5w-20=9$$

Combine 3w and 5w to get 8w.

$$8w-6-20=9$$

Subtract 20 from -6 to get -26.

$$8w-26=9$$

Add 26 to both sides.

$$8w=9+26$$

Add 9 and 26 to get 35.

$$8w=35$$

Divide both sides by 8.

$$w=\frac{35}{8}$$