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

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3,6.

$$3\left(3x-1\right)-4x=2\left(x+6\right)$$

Use the distributive property to multiply 3 by 3x-1.

$$9x-3-4x=2\left(x+6\right)$$

Combine 9x and -4x to get 5x.

$$5x-3=2\left(x+6\right)$$

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

$$5x-3=2x+12$$

Subtract 2x from both sides.

$$5x-3-2x=12$$

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

$$3x-3=12$$

Add 3 to both sides.

$$3x=12+3$$

Add 12 and 3 to get 15.

$$3x=15$$

Divide both sides by 3.

$$x=\frac{15}{3}$$

Divide 15 by 3 to get 5.

$$x=5$$