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15 - 4x + x = -3

Question

15 - 4x + x = -3

Explanation:

Step1: Combine like terms

First, we combine the \(x\) terms on the left side. The terms \(-4x\) and \(+x\) are like terms. So, \(-4x + x=-3x\). The equation becomes \(15 - 3x=-3\).

Step2: Subtract 15 from both sides

To isolate the term with \(x\), we subtract 15 from both sides of the equation.
\(15-3x - 15=-3 - 15\)
Simplifying both sides, we get \(-3x=-18\).

Step3: Solve for x

Now, we divide both sides of the equation by \(-3\) to solve for \(x\).
\(\frac{-3x}{-3}=\frac{-18}{-3}\)
Simplifying, we find that \(x = 6\).

Answer:

\(x = 6\)