Question

question
solve for x:
7x - (2x - 4) + 1 = -10 + 8x
answer attempt 1 out of 2
x =
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Explanation:

Step1: Remove parentheses

First, we need to remove the parentheses. Remember that when we have a negative sign in front of the parentheses, we distribute the negative sign to each term inside. So, \(7x - (2x - 4)+1\) becomes \(7x - 2x + 4 + 1\). The right side of the equation is \(-10 + 8x\). So now our equation is:
\(7x - 2x + 4 + 1 = -10 + 8x\)

Step2: Combine like terms

Next, we combine like terms on the left side. \(7x - 2x = 5x\) and \(4 + 1 = 5\). So the left side simplifies to \(5x + 5\). The equation now is:
\(5x + 5 = 8x - 10\)

Step3: Move variable terms to one side

Let's subtract \(5x\) from both sides to get the \(x\) terms on one side. Subtracting \(5x\) from both sides gives:
\(5 = 3x - 10\)

Step4: Solve for x

Now, we add 10 to both sides to isolate the term with \(x\). Adding 10 to both sides:
\(5 + 10 = 3x\)
\(15 = 3x\)
Then, we divide both sides by 3 to solve for \(x\):
\(x = \frac{15}{3} = 5\)

Answer:

\(x = 5\)