To solve the equation [tex]\( 14 = 31.7 - 3x \)[/tex], follow these step-by-step instructions:
1. Start by isolating the term with [tex]\( x \)[/tex]. Subtract [tex]\( 31.7 \)[/tex] from both sides of the equation:
[tex]\[
14 - 31.7 = 31.7 - 3x - 31.7
\][/tex]
This simplifies to:
[tex]\[
-17.7 = -3x
\][/tex]
2. Next, solve for [tex]\( x \)[/tex] by dividing both sides of the equation by [tex]\(-3\)[/tex]:
[tex]\[
x = \frac{-17.7}{-3}
\][/tex]
3. Perform the division to find the value of [tex]\( x \)[/tex]:
[tex]\[
x = 5.8999999999999995
\][/tex]
So, the solution to the equation [tex]\( 14 = 31.7 - 3x \)[/tex] is:
[tex]\[
x = 5.8999999999999995
\][/tex]
