Solve (x-2)/3-(x+5)/6=4

$$\frac { ( x - 2 ) } { 3 } - \frac { ( x + 5 ) } { 6 } = 4$$

Solve for x

$$x=33$$

Steps for Solving Linear Equation

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

$$2\left(x-2\right)-\left(x+5\right)=24$$

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

$$2x-4-\left(x+5\right)=24$$

To find the opposite of x+5, find the opposite of each term.

$$2x-4-x-5=24$$

Combine 2x and -x to get x.

$$x-4-5=24$$

Subtract 5 from -4 to get -9.

$$x-9=24$$

Add 9 to both sides.

$$x=24+9$$

Add 24 and 9 to get 33.

$$x=33$$