To find the value of [tex]\( x \)[/tex] in the equation [tex]\( 3x + 39 = 180 \)[/tex], let's go through a detailed, step-by-step solution:
1. Start with the given equation:
[tex]\[
3x + 39 = 180
\][/tex]
2. To isolate [tex]\( x \)[/tex], we need to first get rid of the constant term on the left-hand side. We do this by subtracting 39 from both sides of the equation:
[tex]\[
3x + 39 - 39 = 180 - 39
\][/tex]
3. Simplify both sides:
[tex]\[
3x = 141
\][/tex]
4. Now, we need to isolate [tex]\( x \)[/tex]. The coefficient of [tex]\( x \)[/tex] is 3. To solve for [tex]\( x \)[/tex], divide both sides of the equation by 3:
[tex]\[
\frac{3x}{3} = \frac{141}{3}
\][/tex]
5. Simplify the division:
[tex]\[
x = 47
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] is:
[tex]\[
x = 47
\][/tex]
