Answered

Solve for [tex]\( x \)[/tex].

When angles form a linear pair, their sum is [tex]\( 180^{\circ} \)[/tex].
[tex]\[
\begin{array}{r}
8x - 3 + 4x + 3 = 180 \\
12x = 180
\end{array}
\][/tex]

Hint: First, combine like terms. Calculate the sum of [tex]\( 8x \)[/tex] and [tex]\( 4x \)[/tex], and enter the value of the coefficient.



Answer :

GinnyAnswer
Certainly! Let's solve for [tex]\( x \)[/tex] in the equation [tex]\( 8x - 3 + 4x + 3 = 180 \)[/tex].

1. Combine Like Terms:
- First, combine the [tex]\( x \)[/tex]-terms: [tex]\( 8x + 4x \)[/tex].
- Combining these, we get [tex]\( 12x \)[/tex].
- Next, combine the constant terms: [tex]\( -3 + 3 \)[/tex].
- Combining these, we get [tex]\( 0 \)[/tex].

So, the equation simplifies to:
[tex]\[ 12x + 0 = 180 \][/tex]

Which is:
[tex]\[ 12x = 180 \][/tex]

2. Solve for [tex]\( x \)[/tex]:
- To isolate [tex]\( x \)[/tex], divide both sides of the equation by the coefficient of [tex]\( x \)[/tex], which is [tex]\( 12 \)[/tex]:

[tex]\[ x = \frac{180}{12} \][/tex]

3. Calculate the Value of [tex]\( x \)[/tex]:
- Performing the division:

[tex]\[ x = 15 \][/tex]

Hence, the value of [tex]\( x \)[/tex] is [tex]\( 15 \)[/tex].

Thus, the coefficients and solution are:
- The coefficient of [tex]\( x \)[/tex] is [tex]\( 12 \)[/tex].
- The value of [tex]\( x \)[/tex] is [tex]\( 15 \)[/tex].