Questions: Question 11 Solve for (x). [ -9 x+37=-5(x-9) ] Simplify your answer as much as possible. [ x= ]

Transcript text: Question 11 Solve for $x$. \[ -9 x+37=-5(x-9) \] Simplify your answer as much as possible. \[ x= \]

Solution

Solution Steps

To solve the equation $-9x + 37 = -5(x - 9)$, we will first distribute the $-5$ on the right-hand side. Then, we'll combine like terms and isolate $x$ to find its value.

Step 1: Distribute and Simplify

Start with the equation: \[ -9x + 37 = -5(x - 9) \]

Distribute $-5$ on the right-hand side: \[ -9x + 37 = -5x + 45 \]

Step 2: Combine Like Terms

Move all terms involving $x$ to one side and constant terms to the other side: \[ -9x + 5x = 45 - 37 \]

Simplify: \[ -4x = 8 \]

Step 3: Solve for $x$

Divide both sides by $-4$ to isolate $x$: \[ x = \frac{8}{-4} \]

Simplify: \[ x = -2 \]

Final Answer

\[ \boxed{x = -2} \]

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Questions: Question 11 Solve for (x). [ -9 x+37=-5(x-9) ] Simplify your answer as much as possible. [ x= ]

Solution

Solution Steps

Final Answer

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