What value will complete the set of equations 153xβˆ’9βˆ’4=12

15
3
π‘₯
βˆ’
9
βˆ’
4
=
12
and x≠
π‘₯
β‰ 
_____?(1 point)
The value that completes the set of equations is x≠
π‘₯
β‰ 
.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To solve the equation \( 153x - 9 - 4 = 12 \), we will first simplify the left-hand side.

1. Combine like terms on the left:
\[
153x - 9 - 4 = 12 \implies 153x - 13 = 12
\]

2. Now, isolate the term with \( x \) by adding 13 to both sides:
\[
153x - 13 + 13 = 12 + 13 \implies 153x = 25
\]

3. Next, divide both sides by 153 to solve for \( x \):
\[
x = \frac{25}{153}
\]

So, the value of \( x \) that completes the equation is:
\[
x = \frac{25}{153}
\]

Given that \( x \) cannot take an infinite set of values (like zero), we can conclude that:
\[
x \neq 0
\]
Thus the complete value is:
\[
x \neq 0
\]