I'm so confused on how to solve this problem~
a-b(x+c)=d
I'm supposed to solve for x and all of the variables are positive -_-
I'm lost
a-b(x+c)=d
just follow the order of operations
a - bx - bc = d
keep the term containing x, move everybody else to the other side
- bx = d - a + bc
divide each term by -b
x = -d/b + a/b - c
or
x = (d-a+bc)/-b
or
x = (a - d - bc)/b
the fact that all variables are positive is of no concern, other than b cannot be zero
I'm still confused though~
so x= (d-a+bc)/-b?
and those 3 answers given are the final things you can do?
I also have to solve for x~
a(bx-c)=d-(x+e)
again, all variables represent positive #s
follow the same steps as before
first expand
a(bx-c)=d-(x+e)
abx - ac = d - x - e
get all the x terms to one side, everybody else to the other side
abx + x = d + ac - e
divide everybody by ab, that would leave the x all alone
x = (d+ac-e)/(ab)
all done
ok thank you I think I understand now
No worries! I'll help you step by step to solve the equation a - b(x + c) = d and find the value of x.
To begin, let's simplify the equation by distributing the negative sign to the terms inside the parentheses:
a - b(x + c) = d
a - bx - bc = d
Now, let's isolate the term containing x by moving the constants to the other side of the equation:
a - bx - bc + bc = d + bc
a - bx = d + bc
To isolate x, we'll divide both sides of the equation by -b:
(a - bx) / -b = (d + bc) / -b
Remember that when dividing or multiplying both sides of an equation by a negative number, the inequality sign flips:
(a - bx) / (-b) = (d + bc) / (-b)
Simplifying further, we have:
(a / -b) - (bx / -b) = (d / -b) - (bc / -b)
Now, let's simplify each term:
-a/b + x = -d/b - c
Finally, to solve for x, subtract -a/b from both sides of the equation:
x = -d/b - c + a/b
And there you have it! The solution for x is:
x = (-d/b) - c + (a/b)