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Solve for x: 20х - 5(6x + 15) =-45

• (1 point)
0x=-3
• x= 3
0x =2
• x=-2

1 answer

To solve the equation \( 20x - 5(6x + 15) = -45 \), we can follow these steps:

  1. Distribute the \(-5\) in the expression \(-5(6x + 15)\): \[ -5(6x + 15) = -30x - 75 \]

  2. Substitute this back into the equation: \[ 20x - 30x - 75 = -45 \]

  3. Combine like terms: \[ -10x - 75 = -45 \]

  4. Add \(75\) to both sides: \[ -10x = -45 + 75 \] \[ -10x = 30 \]

  5. Divide both sides by \(-10\): \[ x = \frac{30}{-10} = -3 \]

This means \( x = -3 \).

However, let's look at the answer choices provided:

  • \(0x = -3\)
  • \(x = 3\)
  • \(0x = 2\)
  • \(x = -2\)

Since \(-3\) is not listed as an option, I will recheck my calculations.

Let's redo the calculations briefly again:

The equation starts with: \[ 20x - 5(6x + 15) = -45 \] Distributing: \[ 20x - 30x - 75 = -45 \] Simplifying: \[ -10x - 75 = -45 \] \[-10x = 30\] Dividing: \[ x = -3 \]

The calculations are confirmed. However, none of the provided options match \(x = -3\). Please double-check the original problem or answer choices provided.