Solve for all values of x in simplest form. 4|8+x|-10=26 Answer: x=

Isolate absolute value expression: Start by isolating the absolute value expression on one side of the equation. Add 10 to both sides of the equation to isolate the absolute value term. 4|8 + x| - 10 + 10 = 26 + 10Add 10 to both sides: Simplify both sides of the equation. 4|8 + x| = 36Simplify both sides: Divide both sides of the equation by 4 to solve for the absolute value expression. (4|8 + x|) / 4 = 36 / 4Divide by 4: Simplify the equation after dividing. |8 + x| = 9Set up two equations: Set up two separate equations to account for the absolute value, one for the positive case and one for the negative case. 8 + x = 9 or 8 + x = -9Solve for x (positive case): Solve for x in the first equation. 8 + x = 9 x = 9 - 8 x = 1Solve for x (negative case): Solve for x in the second equation. 8 + x = -9 x = -9 - 8 x = -17

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Solve for all values of
x in simplest form.

4|8+x|-10=26
Answer:
x=

Solve for all values of $x$ in simplest form. $\newline$ $4|8+x|-10=26$ $\newline$ Answer: $x=$

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Math Problems

Grade 8

Evaluate absolute value expressions

Full solution

Q. Solve for all values of

x

in simplest form.

\newline

4|8+x|-10=26

\newline

Answer:

x=

Isolate absolute value expression: Start by isolating the absolute value expression on one side of the equation. $\newline$ Add $10$ to both sides of the equation to isolate the absolute value term. $\newline$ $4|8 + x| - 10 + 10 = 26 + 10$
Add $10$ to both sides: Simplify both sides of the equation. $\newline$ $4|8 + x| = 36$
Simplify both sides: Divide both sides of the equation by $4$ to solve for the absolute value expression. $\newline$ $\frac{4|8 + x|}{4} = \frac{36}{4}$
Divide by $4$ : Simplify the equation after dividing. $\newline$ $|8 + x| = 9$
Set up two equations: Set up two separate equations to account for the absolute value, one for the positive case and one for the negative case. $\newline$ $8 + x = 9$ or $8 + x = -9$
Solve for x (positive case): Solve for x in the first equation. $\newline$ $8 + x = 9$ $\newline$ $x = 9 - 8$ $\newline$ $x = 1$
Solve for x (negative case): Solve for x in the second equation. $\newline$ $8 + x = -9$ $\newline$ $x = -9 - 8$ $\newline$ $x = -17$