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

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

Solve for x

$$x = -\frac{7}{2} = -3\frac{1}{2} = -3.5$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 3 by 2x+6.

$$6x+18=2\left(x+2\right)$$

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

$$6x+18=2x+4$$

Subtract 2x from both sides.

$$6x+18-2x=4$$

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

$$4x+18=4$$

Subtract 18 from both sides.

$$4x=4-18$$

Subtract 18 from 4 to get -14.

$$4x=-14$$

Divide both sides by 4.

$$x=\frac{-14}{4}$$

Reduce the fraction \frac{-14}{4} to lowest terms by extracting and canceling out 2.

$$x=-\frac{7}{2}$$