Certainly! Let's solve the equation [tex]\( 3x + 14 = 4 \)[/tex] step-by-step.
1. Start by isolating the term involving [tex]\( x \)[/tex]:
The first step is to remove the constant term (14) from the left-hand side of the equation. To do this, subtract 14 from both sides of the equation.
[tex]\[
3x + 14 - 14 = 4 - 14
\][/tex]
Simplifying this, we get:
[tex]\[
3x = -10
\][/tex]
2. Solve for [tex]\( x \)[/tex]:
Now we need to isolate [tex]\( x \)[/tex]. To do this, divide both sides of the equation by 3.
[tex]\[
\frac{3x}{3} = \frac{-10}{3}
\][/tex]
Simplifying this, we get:
[tex]\[
x = \frac{-10}{3}
\][/tex]
3. Express the solution in decimal form:
Convert the fraction [tex]\(\frac{-10}{3}\)[/tex] to its decimal representation.
[tex]\[
x = -3.3333333333333335
\][/tex]
Therefore, the solution to the equation [tex]\( 3x + 14 = 4 \)[/tex] is:
[tex]\[ x = -3.3333333333333335 \][/tex]
