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Decreasing -5 times a number by 18 is equal to decreasing 9 times the number by 25

2 Answers

2 votes

Final answer:

To solve this equation, we need to isolate the unknown number x. By performing a series of steps, we can find that x is equal to -7/4 or -1.75.

Step-by-step explanation:

To solve this problem, let's first represent the unknown number as x.

The equation can be written as -5x - 18 = -9x - 25.

To solve for x, we need to isolate it on one side of the equation. We can do this by adding 9x to both sides:

-5x + 9x - 18 = -25.

This simplifies to 4x - 18 = -25.

Next, we can add 18 to both sides:

4x - 18 + 18 = -25 + 18.

This gives us 4x = -7.

Finally, we divide both sides by 4 to solve for x:

4x/4 = -7/4.

The solution is x = -7/4 or -1.75.

User Thumbtackthief
by
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3 votes

Answer:

x = 1/2

Step-by-step explanation:

-5x -18 = 9x - 25

-9x +18 -9x +18.

-14x = -7

÷ -14. ÷ -14

x = 1/2

User Ebyhr
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7.8k points