Question

1. a balance scale has 3 identical groups on the left. each group contains an x tile and 3 unit weights. weights. solve for x by showing what operations keep the scale balanced.

Explanation:

Step1: Translate to equation

Left side: $3(x + 3)$, Right side: $12$
Equation: $3(x + 3) = 12$

Step2: Divide both sides by 3

$\frac{3(x + 3)}{3} = \frac{12}{3}$
Simplify: $x + 3 = 4$

Step3: Subtract 3 from both sides

$x + 3 - 3 = 4 - 3$
Simplify: $x = 1$

Answer:

$x=1$