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 \(x\)