asked 65.4k views
1 vote
Solve the equation 4a – (6 – 5a) + 12 = 3a + 2(2a – 4) for a.

asked
User Carnegie
by
7.7k points

1 Answer

2 votes

Answer:

a = - 7

Explanation:

given

4a - (6 - 5a) + 12 = 3a + 2(2a - 4) ← distribute parenthesis on both sides

4a - 6 + 5a + 12 = 3a + 4a - 8 ( simplify both sides )

9a + 6 = 7a - 8 ( subtract 7a from both sides )

9a - 7a + 6 = 7a - 7a - 8 ( simplify both sides )

2a + 6 = - 8 ( subtract 6 from both sides )

2a + 6 - 6 = - 8 - 6 ( simplify both sides )

2a = - 14 ( divide both sides by 2 )

a = - 7

answered
User Vjollca
by
7.9k points

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