Solve for all values of x in simplest form. |5+x|+6=8 Answer: x=

Isolate absolute value expression: Start by isolating the absolute value expression on one side of the equation. Subtract 6 from both sides of the equation to isolate |5+x|. |5+x| + 6 - 6 = 8 - 6 |5+x| = 2Solve absolute value equation: Solve the absolute value equation |5+x| = 2. An absolute value equation |A| = B has two possible solutions: A = B or A = -B. So, we have two cases for 5+x: Case 1: 5+x = 2 Case 2: 5+x = -2Solve for x in Case 1: Solve for x in Case 1. 5+x = 2 Subtract 5 from both sides to solve for x. 5+x - 5 = 2 - 5 x = -3Solve for x in Case 2: Solve for x in Case 2. 5+x = -2 Subtract 5 from both sides to solve for x. 5+x - 5 = -2 - 5 x = -7

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for all values of
x in simplest form.

|5+x|+6=8
Answer:
x=

Solve for all values of $x$ in simplest form. $\newline$ $|5+x|+6=8$ $\newline$ Answer: $x=$

View step-by-step help

Home

Math Problems

Grade 8

Evaluate absolute value expressions

Full solution

Q. Solve for all values of

x

in simplest form.

\newline

|5+x|+6=8

\newline

Answer:

x=

Isolate absolute value expression: Start by isolating the absolute value expression on one side of the equation. $\newline$ Subtract $6$ from both sides of the equation to isolate $|5+x|$ . $\newline$ $|5+x| + 6 - 6 = 8 - 6$ $\newline$ $|5+x| = 2$
Solve absolute value equation: Solve the absolute value equation |5+x| = 2＂).$\newlineAn absolute value equation \$|A| = B$ has two possible solutions: $A = B$ or $A = -B$.$\newline$So, we have two cases for $5+x$:$\newline$Case $1$: $5+x = 2$$\newline$Case $2$: $5+x = -2$
Solve for x in Case $1$: Solve for x in Case $1$.$\newline$$5+x = 2$$\newline$Subtract $5$ from both sides to solve for x.$\newline$$5+x - 5 = 2 - 5$$\newline$$x = -3$
Solve for x in Case $2$: Solve for x in Case $2$.$\newline$$5+x = -2$$\newline$Subtract $5$ from both sides to solve for x.$\newline$$5+x - 5 = -2 - 5$$\newline$$x = -7$