Question

""Find the value of x in the equation 18(-x - 2) - 4(-9 + 3x) = -14.""

You need to solve for x and show your work to arrive at the solution.

Answer 1

Solving the given equation by distributing, combining like terms, and isolating x, we find that the value of x is 7/3 or approximately 2.333.

Step-by-step explanation:

To find the value of x in the equation 18(-x - 2) - 4(-9 + 3x) = -14, follow these steps:

1. Distribute the numbers outside the parentheses: 18(-x) + 18(-2) - 4(-9) + 4(3x).
2. Multiply the terms: -18x - 36 + 36 + 12x.
3. Combine like terms: -6x.
4. Since the numbers -36 and +36 cancel each other out, you are left with -6x = -14.
5. Divide both sides by -6 to isolate x: x = 14/6.
6. Simplify the fraction: x = 7/3 or 2.333...