Question

the algebra tiles represent an equation. use the model to solve for x.
$3x + 6 = -2 + -1x$
$3x + 6 = -2 - 1x$
enter your next step here

Explanation:

Step1: Identify correct equation

$$3x + 2 = -1 + 1x$$
Note: 3 green tiles = $3x$, 2 pink +1 tiles = $+2$, 1 red -1 tile = $-1$, 1 orange $x$ tile = $+1x$

Step2: Subtract $1x$ from both sides

$$3x - 1x + 2 = -1 + 1x - 1x$$
$$2x + 2 = -1$$

Step3: Subtract 2 from both sides

$$2x + 2 - 2 = -1 - 2$$
$$2x = -3$$

Step4: Divide by 2 on both sides

$$x = \frac{-3}{2}$$

Answer:

$x = -\frac{3}{2}$ or $x = -1.5$