Find the value of [tex]x[/tex].

[tex]\[
\begin{aligned}
3x + 39 & = 180 \\
3x & = 180 - 39 \\
3x & = 141 \\
x & = \frac{141}{3} \\
x & = 47
\end{aligned}
\][/tex]



Answer :

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]

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