To solve the equation [tex]\( 5x - 15 = 20 \)[/tex], follow these steps:
### Step 1: Isolate the term with [tex]\( x \)[/tex]
First, we need to isolate the term involving [tex]\( x \)[/tex] on one side of the equation. To do this, we add 15 to both sides of the equation to remove the constant term on the left-hand side:
[tex]\[ 5x - 15 + 15 = 20 + 15 \][/tex]
This simplifies to:
[tex]\[ 5x = 35 \][/tex]
### Step 2: Solve for [tex]\( x \)[/tex]
Now, we need to solve for [tex]\( x \)[/tex]. Since [tex]\( x \)[/tex] is multiplied by 5, we can isolate [tex]\( x \)[/tex] by dividing both sides of the equation by 5:
[tex]\[ \frac{5x}{5} = \frac{35}{5} \][/tex]
Simplifying this, we get:
[tex]\[ x = 7 \][/tex]
So, the value of [tex]\( x \)[/tex] is 7.
To verify our solution, we can substitute [tex]\( x = 7 \)[/tex] back into the original equation:
[tex]\[ 5(7) - 15 = 20 \][/tex]
[tex]\[ 35 - 15 = 20 \][/tex]
[tex]\[ 20 = 20 \][/tex]
The left-hand side equals the right-hand side, confirming that [tex]\( x = 7 \)[/tex] is indeed the correct solution.
