Final answer:
The equation is simplified to 27 = 2x + 7 after combining like terms. Upon isolating x by subtracting 7 and dividing by 2, we find that x = 10, which is not listed among the provided options.
Step-by-step explanation:
To solve the equation 27 = 5x - 3x + 7, we first simplify the equation by combining like terms. The terms 5x and -3x can be combined to form 2x. The equation then becomes 27 = 2x + 7.
Next, we isolate x by subtracting 7 from both sides of the equation. This gives us 20 = 2x.
Finally, we divide both sides by 2 to solve for x, giving us the solution x = 10. However, this solution is not among the options provided, meaning there may have been a typo in the original question or the options given.