Correctly select the order of the steps to solve this equation.

Question

−35(15x−30)=198

(3 points)
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Step 1:
Step 2:
Step 3:

Answer 1

To solve the equation \(-35(15x−30)=198\), follow these steps in the correct order:

Step 1:

Distribute \(-35\) to both terms inside the parentheses: \[ -35 \cdot 15x + -35 \cdot (-30) = 198 \] This simplifies to: \[ -525x + 1050 = 198 \]

Step 2:

Subtract \(1050\) from both sides of the equation: \[ -525x + 1050 - 1050 = 198 - 1050 \] This simplifies to: \[ -525x = -852 \]

Step 3:

Divide both sides by \(-525\) to solve for \(x\): \[ x = \frac{-852}{-525} \] This simplifies to: \[ x = \frac{852}{525} \]

Now, you can place the steps in order as follows:

• Step 1: Distribute \(-35\)
• Step 2: Subtract \(1050\) from both sides
• Step 3: Divide by \(-525\) to isolate \(x\)