Question

solve using the multiplication principle. dont forget to check! -6.4x = 28.8 x = \square (type an integer or a decimal.)

Explanation:

Step1: Isolate x via multiplication

Multiply both sides by $\frac{1}{-6.4}$:
$$\frac{1}{-6.4} \times (-6.4x) = \frac{1}{-6.4} \times 28.8$$

Step2: Simplify to solve for x

Calculate the right-hand side:
$$x = \frac{28.8}{-6.4} = -4.5$$

Step3: Verify the solution

Substitute $x=-4.5$ into original equation:
$$-6.4 \times (-4.5) = 28.8$$
$$28.8 = 28.8$$

Answer:

$x = -4.5$