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17(2-x)-5(x+12)/1-7x=8 Solution

2 min read Jul 07, 2024
17(2-x)-5(x+12)/1-7x=8 Solution

Solving the Equation: 17(2-x) - 5(x+12) / 1 - 7x = 8

In this article, we will solve the equation:

17(2-x) - 5(x+12) / 1 - 7x = 8

This equation may seem complex, but with the right steps, we can break it down and find the solution.

Step 1: Simplify the Equation

First, let's simplify the equation by evaluating the expressions inside the parentheses:

17(2-x) = 34 - 17x -5(x+12) = -5x - 60

Now, the equation becomes:

34 - 17x - (5x + 60) / 1 - 7x = 8

Step 2: Combine Like Terms

Next, let's combine like terms:

34 - 17x - 5x - 60 / 1 - 7x = 8

Simplifying further, we get:

-22x - 26 / 1 - 7x = 8

Step 3: Multiply by the Least Common Multiple (LCM)

To eliminate the fraction, we need to multiply both sides of the equation by the LCM of 1 and the denominator, which is 1. Therefore, we multiply both sides by 1:

-22x - 26 = 8

Step 4: Add 26 to Both Sides

Add 26 to both sides of the equation to get:

-22x = 34

Step 5: Divide by -22

Finally, divide both sides of the equation by -22 to solve for x:

x = -34/22 x = -17/11

Therefore, the solution to the equation 17(2-x) - 5(x+12) / 1 - 7x = 8 is x = -17/11.

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