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

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

Solve for x

$$x = -\frac{13}{10} = -1\frac{3}{10} = -1.3$$

Steps for Solving Linear Equation

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

$$7\left(x+7\right)+3\left(x+2\right)=42$$

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

$$7x+49+3\left(x+2\right)=42$$

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

$$7x+49+3x+6=42$$

Combine 7x and 3x to get 10x.

$$10x+49+6=42$$

Add 49 and 6 to get 55.

$$10x+55=42$$

Subtract 55 from both sides.

$$10x=42-55$$

Subtract 55 from 42 to get -13.

$$10x=-13$$

Divide both sides by 10.

$$x=\frac{-13}{10}$$

Fraction \frac{-13}{10} can be rewritten as -\frac{13}{10} by extracting the negative sign.

$$x=-\frac{13}{10}$$