To solve the equation [tex]\( 35x = 88 \)[/tex], we need to isolate the variable [tex]\( x \)[/tex]. Here's a step-by-step explanation of how to solve this equation:
1. Identify the equation to solve:
[tex]\( 35x = 88 \)[/tex].
2. Understand the goal:
We need to isolate [tex]\( x \)[/tex], which means getting [tex]\( x \)[/tex] by itself on one side of the equation.
3. Determine the appropriate mathematical operation:
To isolate [tex]\( x \)[/tex], we need to undo the multiplication of [tex]\( 35 \)[/tex] that is currently applied to [tex]\( x \)[/tex].
4. Undo the multiplication:
To undo the multiplication by [tex]\( 35 \)[/tex], we perform the opposite operation, which is division. Hence, we divide both sides of the equation by [tex]\( 35 \)[/tex].
5. Apply the operation:
[tex]\[
\frac{35x}{35} = \frac{88}{35}
\][/tex]
6. Simplify the equation:
[tex]\[
x = \frac{88}{35}
\][/tex]
By following these steps, we successfully isolate [tex]\( x \)[/tex]. Therefore, the correct answer is:
D. Divide both sides by 35.
