Solve 3-x/4-1/6x=5x+1/6-5x-1/6

$$\frac { 3 - x } { 4 } - \frac { 1 } { 6 } x = \frac { 5 x + 1 } { 6 } - \frac { 5 x - 1 } { 6 }$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$3\left(3-x\right)-2x=2\left(5x+1\right)-2\left(5x-1\right)$$

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

$$9-3x-2x=2\left(5x+1\right)-2\left(5x-1\right)$$

Combine -3x and -2x to get -5x.

$$9-5x=2\left(5x+1\right)-2\left(5x-1\right)$$

Use the distributive property to multiply 2 by 5x+1.

$$9-5x=10x+2-2\left(5x-1\right)$$

Use the distributive property to multiply -2 by 5x-1.

$$9-5x=10x+2-10x+2$$

Combine 10x and -10x to get 0.

$$9-5x=2+2$$

Add 2 and 2 to get 4.

$$9-5x=4$$

Subtract 9 from both sides.

$$-5x=4-9$$

Subtract 9 from 4 to get -5.

$$-5x=-5$$

Divide both sides by -5.

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

Divide -5 by -5 to get 1.

$$x=1$$