Solve the equation 1 4 (16 + 12x) = 28 by first using the distributive property. The equivalent equation is found by distributing the One-fourth to get . The first step is . The second step is . The answer is .
Mathematics · College · Mon Jan 18 2021
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Given the equation:
14 ( 16 + 2x) = 28
Solve the equation.
Solution:
In order to solve the equation, we apply the distributive property of values, whereas we multiply 14 to each value inside the parenthesis.
14 ( 16 + 2x) = 28
224 + 28x = 28
Next, we transpose 224 on the other side of the equation, hence we must take note that in transposing a number, the sign changes.
28x = 28 - 224
28x = -196
Divide both sides by 28 in order to cancel out 28x leaving behind x.
28x/28 = -196/28
x = -7
Final answer:
x = -7