Question

Solve the equation 4x - 12 + 3x = 9x - 2(x - 6).

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

Answer 1

The equation has no solution.

Step-by-step explanation:

Given the equation 4x - 12 + 3x = 9x - 2(x - 6), our goal is to find the value of x that satisfies this equation.

To solve this equation, we'll first distribute the -2 to the terms inside the parentheses, which gives us: 4x - 12 + 3x = 9x - 2x + 12.

Combining like terms, we have 7x - 12 = 7x + 12.

Next, we'll subtract 7x from both sides, which cancels out the x term on both sides, leaving us with -12 = 12.

Since -12 is not equal to 12, there is no solution to this equation. So, the correct answer is none of the options provided.