Let's solve the equation step-by-step.
Given equation:
[tex]\[ 5x + 7 = 9 \][/tex]
### Step 1: Isolate the term with [tex]\( x \)[/tex]
To isolate the term with [tex]\( x \)[/tex] (which is [tex]\( 5x \)[/tex]), we need to get rid of the constant on the left-hand side. Here, the constant is 7. We can subtract 7 from both sides of the equation:
[tex]\[ 5x + 7 - 7 = 9 - 7 \][/tex]
This simplifies to:
[tex]\[ 5x = 2 \][/tex]
### Step 2: Solve for [tex]\( x \)[/tex]
Now that we have isolated the term with [tex]\( x \)[/tex], we need to solve for [tex]\( x \)[/tex] itself. The coefficient of [tex]\( x \)[/tex] is 5, so we need to divide both sides of the equation by 5:
[tex]\[ \frac{5x}{5} = \frac{2}{5} \][/tex]
This simplifies to:
[tex]\[ x = \frac{2}{5} \][/tex]
### Final Answer
The solution to the equation [tex]\( 5x + 7 = 9 \)[/tex] is:
[tex]\[ x = \frac{2}{5} \][/tex]
