Question

three step linear equations
question
video examples
solve for x:
14x + 1 = 10x - 19
answer
attempt 1 out of 2
x =
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Explanation:

Step1: Subtract \(10x\) from both sides

To isolate the \(x\) terms on one side, we subtract \(10x\) from both sides of the equation \(14x + 1 = 10x - 19\). This gives us \((14x - 10x)+ 1=(10x - 10x)- 19\), which simplifies to \(4x + 1=-19\).

Step2: Subtract 1 from both sides

Next, we want to isolate the term with \(x\), so we subtract 1 from both sides. Doing this, we get \(4x + 1 - 1=-19 - 1\), which simplifies to \(4x=-20\).

Step3: Divide both sides by 4

To solve for \(x\), we divide both sides of the equation \(4x = - 20\) by 4. So, \(\frac{4x}{4}=\frac{-20}{4}\), which gives \(x=-5\).

Answer:

\(-5\)