A1.A.REI.B.2 *Calculator permitted (CP)

Question

Solve 6 - 4(2x - 1) = -9
Responses

x = ⅛

x = 7/4

x = 11/8

x = 19/8

Answer 1

To solve the equation \( 6 - 4(2x - 1) = -9 \), we can follow these steps:

1. Distribute the \(-4\) into the parentheses: \[ 6 - 4(2x) + 4(1) = -9 \] This simplifies to: \[ 6 - 8x + 4 = -9 \]

2. Combine like terms: \[ 10 - 8x = -9 \]

3. Subtract \(10\) from both sides: \[ -8x = -9 - 10 \] \[ -8x = -19 \]

4. Divide by \(-8\): \[ x = \frac{-19}{-8} \] Which simplifies to: \[ x = \frac{19}{8} \]

So, the solution is: \[ \boxed{\frac{19}{8}} \]