How do you solve 2(x=1)=3x3?

1 Answer
Mar 25, 2015

Solve: 2(x1)=3x3

Remove the parentheses (by distributing the multiplication). Then Collect all terms involving the unknown (x) on one side and all other terms on the other side. Finish by dividing both sides by the coefficient of x (the number in front of x.

It looks like this:

2(x1)=3x3
2x2=3x3

Method 1, collect x-terms on the left.
2x2=3x3
(add 2 and subtract 3x from both sides. Then divide)

2x3x=3+2
x=1

x1=11

x=1

(There are other ways of convincing yourself that ix x=1 is to be true, then we'll need to have x=1)

Method 2, avoid negatives in front of x
2x2=3x3

(add 3 and subtract 2x on both sides)

2+3=3x2x
1=x
x=1