The equation 5 - 3x = -17 represents a step in solving the original equation. The correct answer is option (B).
To solve the equation 5 - 3x + 2 = 19, we need to isolate the variable x on one side of the equation.
Step 1: Combine like terms: 5 - 3x + 2 = 7 - 3x.
Step 2: Move the constant term to the other side by subtracting 7 from both sides: 7 - 3x - 7 = 19 - 7.
Step 3: Simplify: -3x = 12.
Step 4: Isolate x by dividing both sides by the coefficient of x (-3): -3x / -3 = 12 / -3.
Step 5: Final step: x = -4.
Thus, the equation 5 - 3x = -17 represents a step in solving the original equation. The correct answer is option (B).
The complete question is as follows:
Which equation is a step in solving the equation 5 - 3x + 2 equals 19?
A: |5-3x|=-17
B: 5-3x=-17
C: |5 +3x|=17
D: 5+3x=-17