Solve 1-2x+1/12+2x-1/3=10x+1/4

$$1 - \frac { 2 x + 1 } { 12 } + \frac { 2 x - 1 } { 3 } = \frac { 10 x + 1 } { 4 }$$

Solve for x

$$x=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

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

$$12-\left(2x+1\right)+4\left(2x-1\right)=3\left(10x+1\right)$$

To find the opposite of 2x+1, find the opposite of each term.

$$12-2x-1+4\left(2x-1\right)=3\left(10x+1\right)$$

Subtract 1 from 12 to get 11.

$$11-2x+4\left(2x-1\right)=3\left(10x+1\right)$$

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

$$11-2x+8x-4=3\left(10x+1\right)$$

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

$$11+6x-4=3\left(10x+1\right)$$

Subtract 4 from 11 to get 7.

$$7+6x=3\left(10x+1\right)$$

Use the distributive property to multiply 3 by 10x+1.

$$7+6x=30x+3$$

Subtract 30x from both sides.

$$7+6x-30x=3$$

Combine 6x and -30x to get -24x.

$$7-24x=3$$

Subtract 7 from both sides.

$$-24x=3-7$$

Subtract 7 from 3 to get -4.

$$-24x=-4$$

Divide both sides by -24.

$$x=\frac{-4}{-24}$$

Reduce the fraction \frac{-4}{-24} to lowest terms by extracting and canceling out -4.

$$x=\frac{1}{6}$$