Asked by Lisa

When x is increased by 5, the result is 60% of increasing x by 15. What is the value of x?

I got this far:
x+5 = 0.60(x+15)
x+5 = 0.60x + 9
x = 0.60x + 4

What is the next step?
Answered by Ms. Sue
x = 0.60x + 4

x - 0.6x = 4

0.4x = 4

x = 4/0.4

x = 10

Answered by Lisa
Where did the 0.4x come from?
Answered by Ms. Sue
I subtracted 0.6x from both sides of the equation.

x - 0.6x = 0.4x

Answered by Lisa
I'm sorry- I don't understand how x minus 0.6x equals 0.4x?
Answered by Ms. Sue
1.00 - 0.6 = 0.4

Think of money. If you have $1.00 and spend $0.60, you'll have $0.40 left.
Answered by Lisa
Oh I think I understand, because of the invisible coefficient of 1 in front of x, it'd be 1x-0.6x = 0.4x?
Answered by Ms. Sue
Right! :-)
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