Solve {r}{5(x+3)-3x=2(x+1)+13}{text{Selectthecorrectchoicebelow}}

$$\left. \begin{array} { r } { 5 ( x + 3 ) - 3 x = 2 ( x + 1 ) + 13 } \\ { \text { Select the correct choice below } } \end{array} \right.$$

Solve for x (complex solution)

$$x\in \mathrm{C}$$

Solution Steps

Use the distributive property to multiply 5 by x+3.

$$5x+15-3x=2\left(x+1\right)+13$$

Combine 5x and -3x to get 2x.

$$2x+15=2\left(x+1\right)+13$$

Use the distributive property to multiply 2 by x+1.

$$2x+15=2x+2+13$$

Add 2 and 13 to get 15.

$$2x+15=2x+15$$

Subtract 2x from both sides.

$$2x+15-2x=15$$

Combine 2x and -2x to get 0.

$$15=15$$

Compare 15 and 15.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{C}$$

Solve for x

$$x\in \mathrm{R}$$

Solution Steps

Use the distributive property to multiply 5 by x+3.

$$5x+15-3x=2\left(x+1\right)+13$$

Combine 5x and -3x to get 2x.

$$2x+15=2\left(x+1\right)+13$$

Use the distributive property to multiply 2 by x+1.

$$2x+15=2x+2+13$$

Add 2 and 13 to get 15.

$$2x+15=2x+15$$

Subtract 2x from both sides.

$$2x+15-2x=15$$

Combine 2x and -2x to get 0.

$$15=15$$

Compare 15 and 15.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{R}$$