To solve the equation [tex]\(5x = 75\)[/tex], follow these steps:
1. Isolate the variable [tex]\(x\)[/tex]:
- The equation [tex]\(5x = 75\)[/tex] has [tex]\(x\)[/tex] multiplied by 5. To get [tex]\(x\)[/tex] by itself, you need to divide both sides of the equation by the same number that [tex]\(x\)[/tex] is multiplied by, which is 5 in this case.
2. Divide both sides by 5:
- This step is performed to cancel out the 5 on the left side of the equation and isolate [tex]\(x\)[/tex].
- That gives:
[tex]\[
x = \frac{75}{5}
\][/tex]
3. Simplify the right side:
- Perform the division [tex]\(75 \div 5\)[/tex], which results in 15.
Therefore, the solution to the equation [tex]\(5x = 75\)[/tex] is:
[tex]\[
x = 15
\][/tex]
