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

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

Solve for x

$$x = \frac{33}{5} = 6\frac{3}{5} = 6.6$$

Steps for Solving Linear Equation

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

$$15+10x=6\left(-3\right)+15x$$

Multiply 6 and -3 to get -18.

$$15+10x=-18+15x$$

Subtract 15x from both sides.

$$15+10x-15x=-18$$

Combine 10x and -15x to get -5x.

$$15-5x=-18$$

Subtract 15 from both sides.

$$-5x=-18-15$$

Subtract 15 from -18 to get -33.

$$-5x=-33$$

Divide both sides by -5.

$$x=\frac{-33}{-5}$$

Fraction \frac{-33}{-5} can be simplified to \frac{33}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{33}{5}$$