Solve 2x+1/6+x/3=x-1/4

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

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 6,3,4.

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

Use the distributive property to multiply 2 by 2x+1.

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

Combine 4x and 4x to get 8x.

$$8x+2=3\left(x-1\right)$$

Use the distributive property to multiply 3 by x-1.

$$8x+2=3x-3$$

Subtract 3x from both sides.

$$8x+2-3x=-3$$

Combine 8x and -3x to get 5x.

$$5x+2=-3$$

Subtract 2 from both sides.

$$5x=-3-2$$

Subtract 2 from -3 to get -5.

$$5x=-5$$

Divide both sides by 5.

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

Divide -5 by 5 to get -1.

$$x=-1$$