Question

question

1. solve the equation $20 = |x + 16.5| + 8.5$

answer attempt 1 out of 2
additional solution no solution
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Explanation:

Step1: Isolate the absolute value

Subtract 8.5 from both sides.
$20 - 8.5 = |x + 16.5|$
$11.5 = |x + 16.5|$

Step2: Split into two linear equations

Absolute value equals positive/negative value.
$x + 16.5 = 11.5$ or $x + 16.5 = -11.5$

Step3: Solve first linear equation

Subtract 16.5 from both sides.
$x = 11.5 - 16.5$
$x = -5$

Step4: Solve second linear equation

Subtract 16.5 from both sides.
$x = -11.5 - 16.5$
$x = -28$

Answer:

$x = -5$ and $x = -28$