4(x-7)=2x-6 identify the property =used in the first four steps
Mathematics · Middle School · Tue Nov 03 2020
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Given the numerical equation:
4(x - 7)= 2x - 6
Identify the property used.
Solution:
To determine the property, we must solve the equation then state the property that is used in every step.
Distributive Property of Equality
We distribute 4 to each value inside the parenthesis.
4x - 28 = 2x - 6
Transpose 2x and -28 to their opposite sides, hence we must take note that when transposing a number, the sign changes.
4x -2x = -6 + 28
Addition Property and Subtraction Property of Equality
2x = 22
Division Property of Equality
Divide both sides by 2 in order to get the value of x.
x = 11