Solve (2)4x+1=2x-1/3

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

Solve for x

$$x=-\frac{2}{11}\approx -0.181818182$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$6\times 4x+3=2x-1$$

Multiply 6 and 4 to get 24.

$$24x+3=2x-1$$

Subtract 2x from both sides.

$$24x+3-2x=-1$$

Combine 24x and -2x to get 22x.

$$22x+3=-1$$

Subtract 3 from both sides.

$$22x=-1-3$$

Subtract 3 from -1 to get -4.

$$22x=-4$$

Divide both sides by 22.

$$x=\frac{-4}{22}$$

Reduce the fraction \frac{-4}{22} to lowest terms by extracting and canceling out 2.

$$x=-\frac{2}{11}$$