Solve x+2/6+x+4/8=9

$$\frac { x + 2 } { 6 } + \frac { x + 4 } { 8 } = 9$$

Solve for x

$$x=28$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 6,8.

$$4\left(x+2\right)+3\left(x+4\right)=216$$

Use the distributive property to multiply 4 by x+2.

$$4x+8+3\left(x+4\right)=216$$

Use the distributive property to multiply 3 by x+4.

$$4x+8+3x+12=216$$

Combine 4x and 3x to get 7x.

$$7x+8+12=216$$

Add 8 and 12 to get 20.

$$7x+20=216$$

Subtract 20 from both sides.

$$7x=216-20$$

Subtract 20 from 216 to get 196.

$$7x=196$$

Divide both sides by 7.

$$x=\frac{196}{7}$$

Divide 196 by 7 to get 28.

$$x=28$$