Solve for x𝑥 :15x+14=−1(34x−1)15𝑥+14=-1(34𝑥-1) You can enter your answer as an improper fraction (like 13/4), but not as a mixed number.
Question
Solve for x𝑥 :15x+14=−1(34x−1)15𝑥+14=-1(34𝑥-1) You can enter your answer as an improper fraction (like 13/4), but not as a mixed number.
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Solution
First, distribute the -1 on the right side of the equation:
15x + 14 = -1 * 34x + 1
This simplifies to:
15x + 14 = -34x + 1
Next, add 34x to both sides of the equation to get all the x terms on one side:
15x + 34x + 14 = 1
This simplifies to:
49x + 14 = 1
Then, subtract 14 from both sides to isolate the x term:
49x = 1 - 14
This simplifies to:
49x = -13
Finally, divide both sides by 49 to solve for x:
x = -13/49
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