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

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

Solve for x

$$x=34$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

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

Multiply 2 and 2 to get 4.

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

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

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

Use the distributive property to multiply 3 by x+6.

$$4x-16=3x+18$$

Subtract 3x from both sides.

$$4x-16-3x=18$$

Combine 4x and -3x to get x.

$$x-16=18$$

Add 16 to both sides.

$$x=18+16$$

Add 18 and 16 to get 34.

$$x=34$$