Question

solve the equation without using the distributive property.
$4.6(x - 3.9)=-19.2$
the solution is $\boldsymbol{\square}$ (type the value of x.)

Explanation:

Step1: Isolate the parenthetical term

Divide both sides by 4.6:
$\frac{4.6(x-3.9)}{4.6} = \frac{-19.2}{4.6}$
Simplify to get: $x - 3.9 = -\frac{19.2}{4.6}$
Calculate the right-hand side: $x - 3.9 \approx -4.1739$

Step2: Solve for x

Add 3.9 to both sides:
$x = -4.1739 + 3.9$

Answer:

$x \approx -0.27$
Or as an exact fraction: $x = -\frac{69}{230} = -\frac{3}{10}$ (simplified from $x = \frac{-19.2}{4.6} + 3.9 = \frac{-192}{46} + \frac{39}{10} = \frac{-960 + 897}{230} = -\frac{63}{230} \approx -0.27$)