Solve 5x/9-4/15=2x-1/3

$$\frac{ 5x }{ 9 } - \frac{ 4 }{ 15 } = \frac{ 2x-1 }{ 3 }$$

Solve for x

$$x=\frac{3}{5}=0.6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 45, the least common multiple of 9,15,3.

$$5\times 5x-12=15\left(2x-1\right)$$

Multiply 5 and 5 to get 25.

$$25x-12=15\left(2x-1\right)$$

Use the distributive property to multiply 15 by 2x-1.

$$25x-12=30x-15$$

Subtract 30x from both sides.

$$25x-12-30x=-15$$

Combine 25x and -30x to get -5x.

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

Add 12 to both sides.

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

Add -15 and 12 to get -3.

$$-5x=-3$$

Divide both sides by -5.

$$x=\frac{-3}{-5}$$

Fraction \frac{-3}{-5} can be simplified to \frac{3}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3}{5}$$