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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

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

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

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

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

$$4x+2=9x-3$$

Subtract 9x from both sides.

$$4x+2-9x=-3$$

Combine 4x and -9x 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.

$$x=1$$