Solve 2x-1/3-6x-2/5=1/3

$$\frac { 2 x - 1 } { 3 } - \frac { 6 x - 2 } { 5 } = \frac { 1 } { 3 }$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

$$5\left(2x-1\right)-3\left(6x-2\right)=5$$

Use the distributive property to multiply 5 by 2x-1.

$$10x-5-3\left(6x-2\right)=5$$

Use the distributive property to multiply -3 by 6x-2.

$$10x-5-18x+6=5$$

Combine 10x and -18x to get -8x.

$$-8x-5+6=5$$

Add -5 and 6 to get 1.

$$-8x+1=5$$

Subtract 1 from both sides.

$$-8x=5-1$$

Subtract 1 from 5 to get 4.

$$-8x=4$$

Divide both sides by -8.

$$x=\frac{4}{-8}$$

Reduce the fraction \frac{4}{-8} to lowest terms by extracting and canceling out 4.

$$x=-\frac{1}{2}$$