Solve 4x-1/3-6=3x-4/4-x+2/2

$$\frac{ 4x-1 }{ 3 } -6= \frac{ 3x-4 }{ 4 } - \frac{ x+2 }{ 2 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4,2.

$$4\left(4x-1\right)-72=3\left(3x-4\right)-6\left(x+2\right)$$

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

$$16x-4-72=3\left(3x-4\right)-6\left(x+2\right)$$

Subtract 72 from -4 to get -76.

$$16x-76=3\left(3x-4\right)-6\left(x+2\right)$$

Use the distributive property to multiply 3 by 3x-4.

$$16x-76=9x-12-6\left(x+2\right)$$

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

$$16x-76=9x-12-6x-12$$

Combine 9x and -6x to get 3x.

$$16x-76=3x-12-12$$

Subtract 12 from -12 to get -24.

$$16x-76=3x-24$$

Subtract 3x from both sides.

$$16x-76-3x=-24$$

Combine 16x and -3x to get 13x.

$$13x-76=-24$$

Add 76 to both sides.

$$13x=-24+76$$

Add -24 and 76 to get 52.

$$13x=52$$

Divide both sides by 13.

$$x=\frac{52}{13}$$

Divide 52 by 13 to get 4.

$$x=4$$