Option A is correct. The property that justifies step 4 based on the calculation is the Commutative property of addition.
Equations are expressions separated by an equal sign.
Given the equation:
2(x-3) + 3x = 19
Expand the parenthesis using the distributive law
2x - 2(3) + 3x = 19
2x - 6 + 3x = 19
Collect the like terms
2x + 3x -6 = 19
Step 4
Since 2x+3x = 3x+2x = 5x (according to the commutative law), the expression becomes:
5x-6 = 19
Step 5
Add 6 to both sides
5x-6+6 = 19+6
5x = 25
x = 25/5
x = 5
Hence the property that justifies step 4 based on the calculation is the Commutative property of addition.
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