Question

solve the equation below. whats the value of x?
2(2x - 4) = -10x + 6
x = \square

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b + c)=ab+ac\), we expand \(2(2x - 4)\) to get \(4x-8\). So the equation becomes \(4x - 8=-10x + 6\).

Step2: Add \(10x\) to both sides

Adding \(10x\) to both sides of the equation \(4x - 8=-10x + 6\) to get all the \(x\) terms on one side. We have \(4x+10x - 8=-10x+10x + 6\), which simplifies to \(14x-8 = 6\).

Step3: Add 8 to both sides

Adding 8 to both sides of the equation \(14x-8 = 6\). We get \(14x-8 + 8=6 + 8\), which simplifies to \(14x=14\).

Step4: Divide both sides by 14

Dividing both sides of the equation \(14x = 14\) by 14. We have \(\frac{14x}{14}=\frac{14}{14}\), which gives \(x = 1\).

Answer:

\(x = 1\)