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Solve for all values of
x in simplest form.

|12-5x|=52
Answer:
x=

Solve for all values of $x$ in simplest form. $\newline$ $|12-5 x|=52$ $\newline$ Answer: $x=$

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Integer inequalities with absolute values

Full solution

Q. Solve for all values of

x

in simplest form.

\newline

|12-5 x|=52

\newline

Answer:

x=

Set up two equations: First, let's set up two separate equations because the absolute value of a number can be either positive or negative. $\newline$ So, we have $12 - 5x = 52$ and $12 - 5x = -52$ .
Solve first equation: Now, let's solve the first equation: $12 - 5x = 52$ . Subtract $12$ from both sides to get $-5x = 52 - 12$ . $-5x = 40$ .
Solve second equation: Next, divide both sides by $-5$ to solve for $x$ . $x = \frac{40}{-5}.$ $x = -8.$
Find $x$ in first equation: Now, let's solve the second equation: $12 - 5x = -52$ . $\newline$ Subtract $12$ from both sides to get $-5x = -52 - 12$ . $\newline$ $-5x = -64$ .
Find $x$ in second equation: Divide both sides by $-5$ to solve for $x$ . $x = \frac{-64}{-5}$ . $x = 12.8$ .

More problems from Integer inequalities with absolute values

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\newline

What is the equation for

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Question

\$ 200

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Question

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\left\{\begin{array}{l} x-y=-4 \\ y=5(x+1)^{2}-3 \end{array}\right.

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Question

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Question

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Question

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Question

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\newline

What will Ari think about the amount of caramel in Freeze Zone's milkshakes?

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(A) Freeze Zone's milkshakes have too much caramel.

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(B) Freeze Zone's milkshakes have too little caramel.

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Related topics

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