Solve for all values of x in simplest form. 5|5x-4|+7=62 Answer: x=

Isolate absolute value expression: Isolate the absolute value expression. Subtract 7 from both sides of the equation. 5|5x - 4| + 7 - 7 = 62 - 7 5|5x - 4| = 55Divide by 5: Divide both sides by 5 to solve for the absolute value expression. (5|5x - 4|) / 5 = 55 / 5 |5x - 4| = 11Set up two equations: Set up two equations to account for the absolute value. 5x - 4 = 11 and 5x - 4 = -11Solve first equation for x: Solve the first equation for x. 5x - 4 = 11 Add 4 to both sides. 5x = 15 Divide by 5. x = 15 / 5 x = 3Solve second equation for x: Solve the second equation for x. 5x - 4 = -11 Add 4 to both sides. 5x = -11 + 4 5x = -7 Divide by 5. x = -7 / 5 x = -1.4

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Solve for all values of
x in simplest form.

5|5x-4|+7=62
Answer:
x=

Solve for all values of $x$ in simplest form. $\newline$ $5|5 x-4|+7=62$ $\newline$ Answer: $x=$

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Math Problems

Algebra 2

Solve absolute value equations

Full solution

Q. Solve for all values of

x

in simplest form.

\newline

5|5 x-4|+7=62

\newline

Answer:

x=

Isolate absolute value expression: Isolate the absolute value expression. $\newline$ Subtract $7$ from both sides of the equation. $\newline$ $5|5x - 4| + 7 - 7 = 62 - 7$ $\newline$ $5|5x - 4| = 55$
Divide by $5$ : Divide both sides by $5$ to solve for the absolute value expression. $\newline$ $(5|5x - 4|) / 5 = 55 / 5$ $\newline$ $|5x - 4| = 11$
Set up two equations: Set up two equations to account for the absolute value. $5x - 4 = 11$ and $5x - 4 = -11$
Solve first equation for x: Solve the first equation for x. $\newline$ $5x - 4 = 11$ $\newline$ Add $4$ to both sides. $\newline$ $5x = 15$ $\newline$ Divide by $5$ . $\newline$ $x = \frac{15}{5}$ $\newline$ $x = 3$
Solve second equation for x: Solve the second equation for x. $\newline$ $5x - 4 = -11$ $\newline$ Add $4$ to both sides. $\newline$ $5x = -11 + 4$ $\newline$ $5x = -7$ $\newline$ Divide by $5$ . $\newline$ $x = -7 / 5$ $\newline$ $x = -1.4$