X+23
2x-17
What is the value of x?

Simplifying

4x + -23 = 2x + 17

Reorder the terms:

-23 + 4x = 2x + 17

Reorder the terms:

-23 + 4x = 17 + 2x

Solving

-23 + 4x = 17 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-23 + 4x + -2x = 17 + 2x + -2x

Combine like terms: 4x + -2x = 2x

-23 + 2x = 17 + 2x + -2x

Combine like terms: 2x + -2x = 0

-23 + 2x = 17 + 0

-23 + 2x = 17

Add '23' to each side of the equation.

-23 + 23 + 2x = 17 + 23

Combine like terms: -23 + 23 = 0

0 + 2x = 17 + 23

2x = 17 + 23

Combine like terms: 17 + 23 = 40

2x = 40

Divide each side by '2'.

x = 20

Simplifying

x = 20

Step-by-step explanation:

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation: