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

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

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

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

$$6\left(2x+1\right)-12=12x-\left(10x+1\right)$$

Use the distributive property to multiply 6 by 2x+1.

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

Subtract 12 from 6 to get -6.

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

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

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

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

$$12x-6=2x-1$$

Subtract 2x from both sides.

$$12x-6-2x=-1$$

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

$$10x-6=-1$$

Add 6 to both sides.

$$10x=-1+6$$

Add -1 and 6 to get 5.

$$10x=5$$

Divide both sides by 10.

$$x=\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{1}{2}$$