Can someone explain how I solve this equation: 3.5x - 1 = -1/2(-7x + 2) -1/2 is a fraction.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

To solve this equation, we need to get everything that looks like x to one side of the equation, and everything else to the other side.  This means:

`3.5x-1=-1/2(-7x+2)`  multiply both sides by -2

`-7x+2=-7x+2`  move variables to left side, and numbers to right

`-7x+7x=2-2`  simplify

`0=0`

This equation is true for all values of x, which means that its solution is all real numbers.

Approved by eNotes Editorial Team
Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial