Solve 3x+1/2=41/3x-1/6

$$3 x + \frac { 1 } { 2 } = 4 \frac { 1 } { 3 } x - \frac { 1 } { 6 }$$

Solve for x

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

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3,6.

$$18x+3=2\left(4\times 3+1\right)x-1$$

Multiply 4 and 3 to get 12.

$$18x+3=2\left(12+1\right)x-1$$

Add 12 and 1 to get 13.

$$18x+3=2\times 13x-1$$

Multiply 2 and 13 to get 26.

$$18x+3=26x-1$$

Subtract 26x from both sides.

$$18x+3-26x=-1$$

Combine 18x and -26x to get -8x.

$$-8x+3=-1$$

Subtract 3 from both sides.

$$-8x=-1-3$$

Subtract 3 from -1 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.

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