Solve x/3+5/2=5x/2-3/5

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

Solve for x

$$x = \frac{93}{65} = 1\frac{28}{65} \approx 1.430769231$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 3,2,5.

$$10x+75=15\times 5x-18$$

Multiply 15 and 5 to get 75.

$$10x+75=75x-18$$

Subtract 75x from both sides.

$$10x+75-75x=-18$$

Combine 10x and -75x to get -65x.

$$-65x+75=-18$$

Subtract 75 from both sides.

$$-65x=-18-75$$

Subtract 75 from -18 to get -93.

$$-65x=-93$$

Divide both sides by -65.

$$x=\frac{-93}{-65}$$

Fraction \frac{-93}{-65} can be simplified to \frac{93}{65} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{93}{65}$$