Question

model each two - step operation by drawing algebra tiles.

1. $3m + 5 = 8$
2. $-2x - 3 = 5$.

Explanation:

Step1: Isolate the term with $x$

Add 3 to both sides.
$$-2x - 3 + 3 = 5 + 3$$
$$-2x = 8$$

Step2: Solve for $x$

Divide both sides by -2.
$$\frac{-2x}{-2} = \frac{8}{-2}$$
$$x = -4$$

Step1: Isolate the term with $m$

Subtract 5 from both sides.
$$3m + 5 - 5 = 8 - 5$$
$$3m = 3$$

Step2: Solve for $m$

Divide both sides by 3.
$$\frac{3m}{3} = \frac{3}{3}$$
$$m = 1$$

Answer:

$x = -4$

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For the first equation verification (to confirm the given work):