Question

How do you solve `3(1+x) + 2( x - 2) = 3x + 5`?

Answer 1

`x = 3`

Explanation:

`3(1+x) + 2(x-2) = 3x + 5`

Simplify both sides of the equation first.

`3 + 3x + 2x - 4 = 3x + 5`

`5x - 1 = 3x + 5`

Now group like terms by putting variables on one side. Remember when you take a figure or a term (a figure and a variable) to the left or right side, the sign changes.

`5x - 3x = 5 + 1`

`2x = 6`

Solve for `x` by dividing both sides by `2`

`(cancel(2)x)/cancel2=6/2`

`x=6/2=(2*3)/2=(cancel(2)*3)/cancel2`

`x = 3`