Math

Question Find the value of xx given the equation HJ=7x27HJ = 7x - 27.

Studdy Solution

STEP 1

Assumptions
1. We are given that HJ=7x27HJ = 7x - 27.
2. We need to find the value of xx.
3. There are no additional conditions or constraints given for xx.

STEP 2

The equation given is already in the form of a linear equation in one variable, which is xx. To find the value of xx, we need to isolate xx on one side of the equation.
HJ=7x27HJ = 7x - 27

STEP 3

Since we are not given a specific value for HJHJ, we can assume that HJHJ represents a certain length or distance. To solve for xx, we need to know the value of HJHJ. If the problem does not provide this value, we can only solve for xx in terms of HJHJ.

STEP 4

Assuming HJHJ is given or can be measured, we can proceed to solve for xx. If HJHJ is not given, we can express xx in terms of HJHJ. For the purpose of this problem, let's assume HJHJ is known and proceed to the next step.

STEP 5

We need to isolate xx by moving the constant term to the other side of the equation. We do this by adding 2727 to both sides of the equation.
HJ+27=7x27+27HJ + 27 = 7x - 27 + 27

STEP 6

Simplify the equation by combining like terms.
HJ+27=7xHJ + 27 = 7x

STEP 7

Now, we need to solve for xx by dividing both sides of the equation by 77.
HJ+277=7x7\frac{HJ + 27}{7} = \frac{7x}{7}

STEP 8

Simplify the equation to find the value of xx.
x=HJ+277x = \frac{HJ + 27}{7}

STEP 9

Without a specific value for HJHJ, this is the most simplified form of the equation for xx. If the value of HJHJ is provided, we can substitute it into the equation to find the numerical value of xx.
If the problem intended for HJHJ to be a specific numerical length, and that length was accidentally omitted, we would need that information to proceed further. Otherwise, the value of xx is expressed in terms of HJHJ as shown above.

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