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Chapter 6: Problem 28

Solve and check each equation. \(13 x+14=-5+12 x\)

Short Answer

Expert verified
The solution to the equation is \(x = -19\).

Step by step solution

01

Simplify the Equation

To begin with, simplify the equation by combining like terms. In this case, \(12x\) needs to be subtracted from both sides of the equation to get it into a simpler form. So the equation \(13x + 14= -5 + 12x\) transforms to \(13x - 12x = -5 - 14\).
02

Solve for x

Now, you can solve the equation for \(x\). After simplifying on both sides, the equation becomes \(x = -19\).
03

Check the Solution

To check if the solution is correct, substitute the found value of \(x = -19\) back into the original equation and see if it holds true. Substituting, you get \(13(-19) + 14 = -5 + 12(-19)\). After doing the calculations on both sides, both equal to -233, which indicates that the solution is correct.

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