College Math Placement Practice Test

To solve the equation \( 10x - 6 + 18x - 6(2x - 4) = 2 \), we will simplify and combine like terms step by step. First, distribute \( -6 \) across the expression \( (2x - 4) \): \[ -6(2x) + (-6)(-4) = -12x + 24 \] Now, substitute this back into the equation: \[ 10x - 6 + 18x - 12x + 24 = 2 \] Next, combine the \( x \) terms and the constant terms: \[ (10x + 18x - 12x) + (-6 + 24) = 2 \] This simplifies to: \[ 16x + 18 = 2 \] To isolate \( x \), subtract 18 from both sides: \[ 16x = 2 - 18 \] \[ 16x = -16 \] Now, divide both sides by 16: \[ x = \frac{-16}{16} = -1 \] Thus, the value of \( x \) is