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

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

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 2 by x+3.

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

Subtract 16 from 6 to get -10.

$$2x-10=3\left(x-2\right)$$

Use the distributive property to multiply 3 by x-2.

$$2x-10=3x-6$$

Subtract 3x from both sides.

$$2x-10-3x=-6$$

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

$$-x-10=-6$$

Add 10 to both sides.

$$-x=-6+10$$

Add -6 and 10 to get 4.

$$-x=4$$

Multiply both sides by -1.

$$x=-4$$