Solve 4x/9-1/3=2x+1/5

$$\frac { 4 x } { 9 } - \frac { 1 } { 3 } = \frac { 2 x + 1 } { 5 }$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 45, the least common multiple of 9,3,5.

$$5\times 4x-15=9\left(2x+1\right)$$

Multiply 5 and 4 to get 20.

$$20x-15=9\left(2x+1\right)$$

Use the distributive property to multiply 9 by 2x+1.

$$20x-15=18x+9$$

Subtract 18x from both sides.

$$20x-15-18x=9$$

Combine 20x and -18x to get 2x.

$$2x-15=9$$

Add 15 to both sides.

$$2x=9+15$$

Add 9 and 15 to get 24.

$$2x=24$$

Divide both sides by 2.

$$x=\frac{24}{2}$$

Divide 24 by 2 to get 12.

$$x=12$$