Solve x+2/6+x+1/4=6

$$\frac{ x+2 }{ 6 } + \frac{ x+1 }{ 4 } = 6$$

Solve for x

$$x=13$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 6,4.

$$2\left(x+2\right)+3\left(x+1\right)=72$$

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

$$2x+4+3\left(x+1\right)=72$$

Use the distributive property to multiply 3 by x+1.

$$2x+4+3x+3=72$$

Combine 2x and 3x to get 5x.

$$5x+4+3=72$$

Add 4 and 3 to get 7.

$$5x+7=72$$

Subtract 7 from both sides.

$$5x=72-7$$

Subtract 7 from 72 to get 65.

$$5x=65$$

Divide both sides by 5.

$$x=\frac{65}{5}$$

Divide 65 by 5 to get 13.

$$x=13$$