Solve 2x-1/3-3/4=6x-1/12

$$\frac { 2 x - 1 } { 3 } - \frac { 3 } { 4 } = \frac { 6 x - 1 } { 12 }$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

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

$$4\left(2x-1\right)-9=6x-1$$

Use the distributive property to multiply 4 by 2x-1.

$$8x-4-9=6x-1$$

Subtract 9 from -4 to get -13.

$$8x-13=6x-1$$

Subtract 6x from both sides.

$$8x-13-6x=-1$$

Combine 8x and -6x to get 2x.

$$2x-13=-1$$

Add 13 to both sides.

$$2x=-1+13$$

Add -1 and 13 to get 12.

$$2x=12$$

Divide both sides by 2.

$$x=\frac{12}{2}$$

Divide 12 by 2 to get 6.

$$x=6$$