/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 16 Solve and check each equation. ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Solve and check each equation. \(5 x-8=72\)

Short Answer

Expert verified
The solution to the equation \(5x - 8 = 72\) is \(x = 16\).

Step by step solution

01

Set up the equation

The equation given in the problem is \(5x - 8 = 72\).
02

Isolate the variable

To solve for \(x\), first, add 8 to both sides of the equation. This gives \(5x = 72 + 8\), which simplifies to \(5x = 80\).
03

Solve for \(x\)

Next, we just divide both sides by 5. This gives \(x = 80 / 5 = 16.\)
04

Check the solution

After obtaining the value of \(x\), it's important to verify by substituting \(x = 16\) back into the original equation \(5x - 8 = 72\). With \(x = 16\), the left side becomes \(5(16) - 8 = 80 - 8 = 72\), which is equal to the right side, so our solution is correct.

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