Question

How do you solve `3x-7=2x+1`?

Answer 1

See full explanation below

Explanation:

Step 1) Add and subtract the necessary values to each side of the equation to isolate the `x` terms on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

`3x - 7 - color(red)(2x) + color(blue)(7) = 2x + 1 - color(red)(2x) + color(blue)(7)`

Next group the like terms and then combine the like terms:

`3x - color(red)(2x) - 7 + color(blue)(7) = 2x - color(red)(2x) + 1 + color(blue)(7)`

`3x - color(red)(2x) - 0 = 0 + 1 + color(blue)(7)`

`(3 - 2)x = 8`

`1x = 8`

`x = 8`