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

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

Solve for x

$$x = \frac{39}{10} = 3\frac{9}{10} = 3.9$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$3+2x=12x-36$$

Subtract 12x from both sides.

$$3+2x-12x=-36$$

Combine 2x and -12x to get -10x.

$$3-10x=-36$$

Subtract 3 from both sides.

$$-10x=-36-3$$

Subtract 3 from -36 to get -39.

$$-10x=-39$$

Divide both sides by -10.

$$x=\frac{-39}{-10}$$

Fraction \frac{-39}{-10} can be simplified to \frac{39}{10} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{39}{10}$$