Question

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

Explanation:

Step1: Remove parentheses

First, we deal with the parentheses. The equation is \(7x-(2x - 4)+1=- 10 + 8x\). When we remove the parentheses, we have to distribute the negative sign to the terms inside the parentheses. So \(-(2x - 4)=-2x + 4\). Then the left - hand side of the equation becomes \(7x-2x + 4+1\).
Simplify the left - hand side: \(7x-2x+4 + 1=(7x-2x)+(4 + 1)=5x+5\). The equation now is \(5x + 5=-10 + 8x\).

Step2: Move terms with x to one side

We want to get all the terms with \(x\) on one side. Let's subtract \(5x\) from both sides of the equation \(5x + 5=-10 + 8x\).
Subtracting \(5x\) from both sides: \(5x+5-5x=-10 + 8x-5x\).
Simplify both sides: \(5=-10 + 3x\).

Step3: Solve for x

Now, we want to isolate \(x\). Let's add 10 to both sides of the equation \(5=-10 + 3x\).
Adding 10 to both sides: \(5 + 10=-10+3x + 10\).
Simplify both sides: \(15 = 3x\).
Then divide both sides by 3: \(\frac{15}{3}=\frac{3x}{3}\).
Simplify: \(x = 5\).

Answer:

\(x = 5\)