These tiles represent the expression 5(x–1)–6.

x
-1
x
-1
x
-1
x
-1
x
-1
-1
-1
-1
-1
-1
-1
Which expression is equivalent to 5(x–1)–6?

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To simplify the expression \(5(x - 1) - 6\), let's distribute and combine like terms.

  1. Distribute \(5\) to both \(x\) and \(-1\): \[ 5(x - 1) = 5x - 5 \]

  2. Now, substitute this back into the original expression: \[ 5(x - 1) - 6 = 5x - 5 - 6 \]

  3. Combine the constants \(-5\) and \(-6\): \[ -5 - 6 = -11 \]

Thus, the expression simplifies to: \[ 5x - 11 \]

The equivalent expression to \(5(x - 1) - 6\) is: \[ \boxed{5x - 11} \]