Solve 2x+4/6=2x-16/2

$$\frac { 2 x + 4 } { 6 } = \frac { 2 x - 16 } { 2 }$$

Solve for x

$$x=13$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 3 by 2x-16.

$$2x+4=6x-48$$

Subtract 6x from both sides.

$$2x+4-6x=-48$$

Combine 2x and -6x to get -4x.

$$-4x+4=-48$$

Subtract 4 from both sides.

$$-4x=-48-4$$

Subtract 4 from -48 to get -52.

$$-4x=-52$$

Divide both sides by -4.

$$x=\frac{-52}{-4}$$

Divide -52 by -4 to get 13.

$$x=13$$