4. Solve for 'x' and check the answer x/3+x/5+x/15=3
Answers
Answer:
The right side: 2(x-2)-3(x-3)
If we multiply the numbers with what’s in brackets we woul get:
2x-4–3x+9
Now simplify it: by adding numbers together and x(s) together:
-x+5
This outcome= the left hand side of the equ, so
-x+5=5(x-5)
Or,
-x+5=5x-25
Put the xs on oneside and numbers on the other:
5+25=5x+x
30=6x
Divide both sides by 6 to get x
30/6=6x/6
5=x
So,
X=5
Step-by-step explanation:
2x-4–3x+9 = 5x-25
First, combine like terms on the left side:
-x+5 = 6x-25
Now you have to isolate x; we’ll do it on the right side of the equation by adding x to both sides:
5 = 6x-25
Add 25 to both sides:
30 = 6x
Divide by 6:
30/6 = x
Reduce, with a GCF of 6:
5 = x
Now substitute 15/2 for x in the original equation to prove this:
2(x-2)-3(x-3)=5(x-5)
2(5–2)-3(5–3)=5(5–5)
Perform all of the subtraction, and then the multiplication:
2(3)-3(2)=5(0)
6–6=0
0=0
so x = 5