Solve 2x+1/4-1=x-10x+1/12

$$\frac { 2 x + 1 } { 4 } - 1 = x - \frac { 10 x + 1 } { 12 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$3\left(2x+1\right)-12=12x-\left(10x+1\right)$$

Use the distributive property to multiply 3 by 2x+1.

$$6x+3-12=12x-\left(10x+1\right)$$

Subtract 12 from 3 to get -9.

$$6x-9=12x-\left(10x+1\right)$$

To find the opposite of 10x+1, find the opposite of each term.

$$6x-9=12x-10x-1$$

Combine 12x and -10x to get 2x.

$$6x-9=2x-1$$

Subtract 2x from both sides.

$$6x-9-2x=-1$$

Combine 6x and -2x to get 4x.

$$4x-9=-1$$

Add 9 to both sides.

$$4x=-1+9$$

Add -1 and 9 to get 8.

$$4x=8$$

Divide both sides by 4.

$$x=\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$x=2$$