High School

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Solve for x in the equation:

8x + 10 = 12x - 18

A) 28 degrees and 152 degrees
B) No solution
C) 66 degrees and 114 degrees
D) 20 degrees

Answer :

Final answer:

The solution to the equation 8x + 10 = 12x - 18 is x = 7. The given options do not match this solution, indicating a possible mix-up with a different question.

Explanation:

To solve the equation 8x + 10 = 12x - 18, we first bring 'x' terms to one side of the equation and the constants to the other side by subtracting 8x from both sides. This gives us 10 = 12x - 8x - 18 or 10 = 4x - 18.

Next, we isolate 'x' by adding 18 to both sides of the equation, which results in 28 = 4x. Finally, we divide both sides by 4 to solve for 'x'. This gives x = 7.

Therefore, the solution to 8x + 10 = 12x - 18 is x = 7. The given options i.e., 28 degrees and 152 degrees, No solution, 66 degrees and 114 degrees, or 20 degrees are not relevant as they appear to be for a different question.

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