Question

What is x - 4| - 5 = 3(x - 1)" alt=" |x - 4| - 5 = 3(x - 1)" align="absmiddle" class="latex-formula">
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Answer 1

Answer:

$\large\boxed{x=\dfrac{1}{2}}$

Step-by-step explanation:

$|a|=\left\{\begin{array}{ccc}a&for&a\geq0\\-a&for&a$

$(1)\ x$

$(2)\ x\geq4\\\\x-4-5=3(x-1)\\\\x+(-4-5)=3x-3\\\\x-9=3x-3\qquad\text{add 9 to both sides}\\\\x-9+9=3x-3+9\\\\x=3x+6\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\x-3x=3x-3x+6\\\\-2x=6\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2x}{-2}=\dfrac{6}{-2}\\\\x=-3\notin(2)$