Question 1 (1 point)

Solve for [tex]$x$[/tex] in the equation [tex]$6 - 5x = 16$[/tex]:

A. [tex][tex]$x = -2$[/tex][/tex]
B. [tex]$x = 16$[/tex]
C. [tex]$x = 2$[/tex]
D. [tex][tex]$x = 15$[/tex][/tex]



Answer :

Certainly! Let's solve the equation step-by-step to determine the value of [tex]\( x \)[/tex]:

The equation given is:
[tex]\[ 6 - 5x = 16 \][/tex]

1. Isolate the term involving [tex]\( x \)[/tex]:
First, we want to isolate the term with [tex]\( x \)[/tex] on one side of the equation, so we start by subtracting 6 from both sides:
[tex]\[ 6 - 5x - 6 = 16 - 6 \][/tex]

2. Simplify both sides:
On the left side, [tex]\( 6 - 6 \)[/tex] simplifies to 0, so we have:
[tex]\[ -5x = 10 \][/tex]

3. Solve for [tex]\( x \)[/tex]:
Now, we need to solve for [tex]\( x \)[/tex] by dividing both sides of the equation by [tex]\(-5\)[/tex]:
[tex]\[ -5x / -5 = 10 / -5 \][/tex]

Simplifying this gives:
[tex]\[ x = -2 \][/tex]

From these steps, we find that the solution to the equation [tex]\( 6 - 5x = 16 \)[/tex] is:
[tex]\[ x = -2 \][/tex]

Thus, the correct answer is:
[tex]\[ x = -2 \][/tex]