What is the solution to $2/3x- 2=-5x +1$ ?

Question

2888 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-14T13:12:32

$x = 9/17$

Step 1) To solve this problem isolate all terms containing $x$ on one side of the equation and all other terms on the other side of the equation:

$2/3x - 2 + 5x + 2 = -5x + 1 + 5x + 2$

$2/3x + 5x = 1 + 2$

$2/3x + 5x = 3$

Step 2) Get the $x$ terms over a common denominator and then solve for $x$ while keeping the equation balanced:

$2/3x +(3/3)5x = 3$

$2/3x + 15/3x = 3$

$17/3x = 3$

$(3/17)17/3x = 3 * (3/17)$

$1x = 9/17$

$x = 9/17$

What is the solution to 2/3x- 2=-5x +12/3x- 2=-5x +1?