Solve x+6/3+x+8/7=2

$$\frac{ x+6 }{ 3 } + \frac{ x+8 }{ 7 } =2$$

Solve for x

$$x = -\frac{12}{5} = -2\frac{2}{5} = -2.4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 3,7.

$$7\left(x+6\right)+3\left(x+8\right)=42$$

Use the distributive property to multiply 7 by x+6.

$$7x+42+3\left(x+8\right)=42$$

Use the distributive property to multiply 3 by x+8.

$$7x+42+3x+24=42$$

Combine 7x and 3x to get 10x.

$$10x+42+24=42$$

Add 42 and 24 to get 66.

$$10x+66=42$$

Subtract 66 from both sides.

$$10x=42-66$$

Subtract 66 from 42 to get -24.

$$10x=-24$$

Divide both sides by 10.

$$x=\frac{-24}{10}$$

Reduce the fraction \frac{-24}{10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{12}{5}$$