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Ivan
2 months ago
14

N(17+x)=34x−r I need to solve for x

Mathematics
2 answers:
Svet_ta [12.7K]2 months ago
4 0

Answer:

The solution for x is shown here: x= \frac{17N+r}{34-N}

Explanation:

Given: N(17+x)=34x-r

The distributive property allows multiplying a single term by each term within a parenthesis individually.

If a\cdot(b+c) =a\cdot b + a\cdot c,

applying the distributive property to the left side produces:

N\cdot 17+N\cdot x = 34x-r or 17N+Nx = 34x-r

The addition property of equality means adding the same quantity to both sides maintains the equation's balance.

Add r to both sides:

17N+Nx+r=34x-r+r

Simplify:

17N+Nx+r=34x

The subtraction property of equality allows subtracting the same value from both sides.

Subtract Nx from each side:

17N+Nx+r-Nx=34x-Nx

Simplify:

17N+r=34x-Nx

or

17N+r=x(34-N)

The division property of equality permits dividing both sides by the same nonzero number.

Divide both sides by (34-N):

\frac{17N+r}{34-N}= \frac{x(34-N)}{34-N}

Upon simplification:

x= \frac{17N+r}{34-N}





tester [12.3K]2 months ago
3 0

The value of x equals (17N + r) divided by (34 minus N).

Starting from N(17 + x) = 34x - r,

expand left side: 17N + Nx = 34x - r

Group the x terms together.

The expression rearranged is (17N + r) over (34 - N).

Thus, the solution is

(17N + r) / (34 - N).

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