Solve x/3+4/15=3x/5

$$\frac{ x }{ 3 } + \frac{ 4 }{ 15 } = \frac{ 3x }{ } 5$$

Solve for x

$$x=\frac{1}{55}\approx 0.018181818$$

Steps for Solving Linear Equation

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

$$5x+4=15\times 3x\times 5$$

Multiply 15 and 3 to get 45.

$$5x+4=45x\times 5$$

Multiply 45 and 5 to get 225.

$$5x+4=225x$$

Subtract 225x from both sides.

$$5x+4-225x=0$$

Combine 5x and -225x to get -220x.

$$-220x+4=0$$

Subtract 4 from both sides. Anything subtracted from zero gives its negation.

$$-220x=-4$$

Divide both sides by -220.

$$x=\frac{-4}{-220}$$

Reduce the fraction \frac{-4}{-220} to lowest terms by extracting and canceling out -4.

$$x=\frac{1}{55}$$