Solve for all values of x in simplest form. 4-5|4x+3|=-26 Answer: x=

Isolate absolute value: Isolate the absolute value expression. Add 5|4x + 3| to both sides to isolate the absolute value on one side. 4 - 5|4x + 3| + 5|4x + 3| = -26 + 5|4x + 3| 4 + 5|4x + 3| = -26 + 5|4x + 3| 4 + 5|4x + 3| = -26 + 5|4x + 3| Subtract 4 from both sides. 4 - 4 + 5|4x + 3| = -26 - 4 5|4x + 3| = -30Add to both sides: Divide both sides by 5 to solve for the absolute value. 5|4x + 3| / 5 = -30 / 5 |4x + 3| = -6 Notice that the absolute value of a number cannot be negative, which means there is no solution to this equation.

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Solve for all values of
x in simplest form.

4-5|4x+3|=-26
Answer:
x=

Solve for all values of $x$ in simplest form. $\newline$ $4-5|4 x+3|=-26$ $\newline$ 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

4-5|4 x+3|=-26

\newline

Answer:

x=

Isolate absolute value: Isolate the absolute value expression. $\newline$ Add $5|4x + 3|$ to both sides to isolate the absolute value on one side. $\newline$ $4 - 5|4x + 3| + 5|4x + 3| = -26 + 5|4x + 3|$ $\newline$ $4 + 5|4x + 3| = -26 + 5|4x + 3|$ $\newline$ $4 + 5|4x + 3| = -26 + 5|4x + 3|$ $\newline$ Subtract $4$ from both sides. $\newline$ $4 - 4 + 5|4x + 3| = -26 - 4$ $\newline$ $5|4x + 3| = -30$
Add to both sides: Divide both sides by $5$ to solve for the absolute value. $\newline$ $\frac{5|4x + 3|}{5} = \frac{-30}{5}$ $\newline$ $|4x + 3| = -6$ $\newline$ Notice that the absolute value of a number cannot be negative, which means there is no solution to this equation.