How do you solve the absolute value equation |2x+6|-3=13 using one negative and one positive
2 answers:
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Answer:
Step-by-step explanation:
Split the second term (5x) into two terms. Multiply the coefficient of the first term (2) by the constant term (3):
Find which two numbers add up to 5 and multiply into 6:
Split 5x as the sum of 3x and 2x:
Now factor out a common term for the first 2 terms:
And do the same for the last 2 terms:
Re-insert:
Factor out the common term 2x+3 and insert the values in front of the parentheses (x and 1):
Separate the parentheses and equal them to 0. Solve for x:
and