To find the value of \( x \) in the given equation \( 5x + 12 = 36 - 3x \), we need to follow these steps:
1. Combine Like Terms:
First, we need to get all the \( x \) terms on one side of the equation and the constant terms on the other side. To do this, we can add \( 3x \) to both sides of the equation:
[tex]\[
5x + 3x + 12 = 36
\][/tex]
This combines the \( x \) terms on the left side of the equation:
[tex]\[
8x + 12 = 36
\][/tex]
2. Isolate the \( x \)-term:
Next, we need to get rid of the constant term on the left side (which is 12 in this case). We do this by subtracting 12 from both sides of the equation:
[tex]\[
8x + 12 - 12 = 36 - 12
\][/tex]
Simplifying both sides, we get:
[tex]\[
8x = 24
\][/tex]
3. Solve for \( x \):
Finally, to solve for \( x \), we need to divide both sides of the equation by 8:
[tex]\[
x = \frac{24}{8}
\][/tex]
Simplifying the right side, we get:
[tex]\[
x = 3
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 3 \)[/tex].
