Solve 1/2(x/3+1)=x/4-2

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

Solve for x

$$x=30$$

Steps for Solving Linear Equation

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

$$6\left(\frac{x}{3}+1\right)=3x-24$$

Use the distributive property to multiply 6 by \frac{x}{3}+1.

$$6\times \frac{x}{3}+6=3x-24$$

Cancel out 3, the greatest common factor in 6 and 3.

$$2x+6=3x-24$$

Subtract 3x from both sides.

$$2x+6-3x=-24$$

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

$$-x+6=-24$$

Subtract 6 from both sides.

$$-x=-24-6$$

Subtract 6 from -24 to get -30.

$$-x=-30$$

Multiply both sides by -1.

$$x=30$$