Question 25

x = -5

To solve the equation 6x - 5 = 10x + 15, we rearrange the terms to isolate x, resulting in x = -5.

A) x = -5

This option is correct because when substituting x = -5 back into the original equation, both sides equal -35, confirming that it satisfies the equation.

B) x = 1/5

This option is incorrect because substituting x = 1/5 into the equation results in 6(1/5) - 5 = -4.8 on the left and 10(1/5) + 15 = 16 on the right, which do not match.

C) x = -1/5

This option is incorrect as well. Substituting x = -1/5 results in 6(-1/5) - 5 = -6.2 on the left and 10(-1/5) + 15 = 13 on the right, which again do not equal.

D) x = 5

This option is also incorrect. When substituting x = 5, the left side becomes 6(5) - 5 = 25 and the right side becomes 10(5) + 15 = 65, which do not match.

Conclusion

The correct answer, x = -5, accurately satisfies the original equation, while the other options do not yield equal values when substituted back into the equation. This clearly demonstrates that the only valid solution is A.