Solve 5x-30/3x=1/3-2/3x

$$\frac { 5 x - 30 } { 3 x } = \frac { 1 } { 3 } - \frac { 2 } { 3 x }$$

Solve for x

$$x=7$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of 3x,3.

$$5x-30=3x\times \frac{1}{3}-2$$

Multiply 3 and \frac{1}{3} to get 1.

$$5x-30=x-2$$

Subtract x from both sides.

$$5x-30-x=-2$$

Combine 5x and -x to get 4x.

$$4x-30=-2$$

Add 30 to both sides.

$$4x=-2+30$$

Add -2 and 30 to get 28.

$$4x=28$$

Divide both sides by 4.

$$x=\frac{28}{4}$$

Divide 28 by 4 to get 7.

$$x=7$$