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Chapter 6: Problem 20

Solve and check each equation. \(25-6 x=-83\)

Short Answer

Expert verified
The solution to the equation \(25-6x=-83\) is \(x=18\).

Step by step solution

01

Rearrange the equation

This step involves bringing the term that has the variable \(x\) on one side and the constant term on the other. This gives \(6x = 25+83\).
02

Simplify the equation

Now let's simplify the right-hand side of equation we get \(6x = 108\).
03

Solve for x

To solve for \(x\) divide both sides by coefficient of \(x\) which is \(6\) . Doing this we get \(x = 108/6\).
04

Simplify the answer

After dividing \(108\) by \(6\) , we get \(x = 18\).
05

Check your solution

To check the solution, we substitute \(x = 18\) into the original equation \(25-6x = -83\) . After substitution, if the left-hand side equals the right-hand side, then the solution is correct. In this case, after substitution, we obtain \(25-6*(18) = -83\), which simplifies to \(-83 = -83\). So, our solution \(x = 18\) is correct.

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