Question

2/5x - 4 = 10 solve for x

Answer 1

Answer: x = +35

Explanation: In this equation, our first step is to isolate the x-term by adding 4 to both sides of the equation. On the left -4 and +4 cancel and we're left with 2/5x and on the right 10 + 4 simplifies to 14.

Now, in order to get x by itself, we must multiply both sides of the equation by the reciprocal of that fraction. The reciprocal of a fraction is just that fraction flipped so the reciprocal of 2/5 is 5/2 so we multiply both sides of the equation by 5/2.

So as we multiply 5/2 times 5/2x, our 5's cancel and our 2's cancel so we are simply left with x. On the right side, 14 and 2 reduce to 7 and 1 so we have 7 times 5 which is 35 so x = 35.