Question

Solve the equation

3(2x - 7) - 4x = 19

a) x = -4
b) x = 5
c) x = 6
d) x = -2

Answer 1

To solve the equation 3(2x - 7) - 4x = 19, distribute the 3, combine like terms, and isolate x to find that x = 20. The provided options do not include this solution, indicating a possible mistake in the options or the problem statement.

Step-by-step explanation:

We are asked to solve the equation 3(2x - 7) - 4x = 19. Let's start by expanding the equation and then simplifying it.

1. Distribute the 3 into the parentheses: 6x - 21 - 4x = 19.
2. Combine like terms: 2x - 21 = 19.
3. Add 21 to both sides: 2x = 40.
4. Divide both sides by 2 to solve for x: x = 20.

After simplifying, we find that x = 20, which is not among the options provided (a) x = -4, (b) x = 5, (c) x = 6, (d) x = -2. Therefore, there must be a mistake in the options given or in the initial problem statement as provided.