Question

How do you evaluate `3x + 6.5= 3.3`?

Answer 1

See a solution process below:

Explanation:

This is a standard 2-Step equation:

Step 1: Isolate the Variable: Subtract `color(red)(6.5)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`3x + 6.5 - color(red)(6.5) = 3.3 - color(red)(6.5)`

`3x + 0 = -3.2`

`3x = -3.2`

Step 2: Solve for the Variable by Multiplying or Dividing Each Side of the Equation by the Appropriate Number: Divide each side of the equation by `color(red)(3)` to solve for `x` while keeping the equation balanced:

`(3x)/color(red)(3) = -3.2/color(red)(3)`

`(color(red)(cancel(color(black)(3)))x)/cancel(color(red)(3)) = (5/5 xx -3.2/3)`

`x = -16/15`