Solve for all values of x in simplest form. -5|7-3x|-3=-38 Answer: x=

Isolate Absolute Value: Isolate the absolute value expression. Add 3 to both sides of the equation. -5|7-3x| - 3 + 3 = -38 + 3 -5|7-3x| = -35Divide and Solve: Divide both sides by -5 to solve for the absolute value expression. -5|7-3x| / -5 = -35 / -5 |7-3x| = 7Set Up Equations: Set up two equations to account for the absolute value. 7 - 3x = 7 or 7 - 3x = -7Solve for x (1st): Solve the first equation for x. 7 - 3x = 7 -3x = 7 - 7 -3x = 0 x = 0 / -3 x = 0Solve for x (2nd): Solve the second equation for x. 7 - 3x = -7 -3x = -7 - 7 -3x = -14 x = -14 / -3 x = 14/3

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Solve for all values of
x in simplest form.

-5|7-3x|-3=-38
Answer:
x=

Solve for all values of $x$ in simplest form. $\newline$ $-5|7-3 x|-3=-38$ $\newline$ Answer: $x=$

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Algebra 2

Solve absolute value equations

Full solution

Q. Solve for all values of

x

in simplest form.

\newline

-5|7-3 x|-3=-38

\newline

Answer:

x=

Isolate Absolute Value: Isolate the absolute value expression. $\newline$ Add $3$ to both sides of the equation. $\newline$ $-5|7-3x| - 3 + 3 = -38 + 3$ $\newline$ $-5|7-3x| = -35$
Divide and Solve: Divide both sides by $-5$ to solve for the absolute value expression. $\newline$ $-5|7-3x| / -5 = -35 / -5$ $\newline$ $|7-3x| = 7$
Set Up Equations: Set up two equations to account for the absolute value. $7 - 3x = 7$ or $7 - 3x = -7$
Solve for x ( $1$ st): Solve the first equation for x. $\newline$ $7 - 3x = 7$ $\newline$ $-3x = 7 - 7$ $\newline$ $-3x = 0$ $\newline$ $x = 0 / -3$ $\newline$ $x = 0$
Solve for x ( $2$ nd): Solve the second equation for x. $\newline$ $7 - 3x = -7$ $\newline$ $-3x = -7 - 7$ $\newline$ $-3x = -14$ $\newline$ $x = -14 / -3$ $\newline$ $x = 14/3$