Solve 1/2-4x+1/12=3x/2

$$\frac { 1 } { 2 } - \frac { 4 x + 1 } { 12 } = \frac { 3 x } { 2 }$$

Solve for x

$$x=\frac{5}{22}\approx 0.227272727$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 2,12.

$$6-\left(4x+1\right)=6\times 3x$$

To find the opposite of 4x+1, find the opposite of each term.

$$6-4x-1=6\times 3x$$

Subtract 1 from 6 to get 5.

$$5-4x=6\times 3x$$

Multiply 6 and 3 to get 18.

$$5-4x=18x$$

Subtract 18x from both sides.

$$5-4x-18x=0$$

Combine -4x and -18x to get -22x.

$$5-22x=0$$

Subtract 5 from both sides. Anything subtracted from zero gives its negation.

$$-22x=-5$$

Divide both sides by -22.

$$x=\frac{-5}{-22}$$

Fraction \frac{-5}{-22} can be simplified to \frac{5}{22} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{5}{22}$$