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3(2a-20)=2(a-4) what’s a?

2 Answers

2 votes

Answer:

Step-by-step explanation:

A = 13

simplify the expression

6a - 60 = 2a - 8

add 60 to both sides

6a - 60 + 60 = 2a - 8 + 60

simplify the expression add the numbers

6a - 60 + 60 = 2a - 8 + 60

subtract 2a from both sides

6a = 2a + 52

6a -2a = 2a + 52 - 2a

simplify the expression

6a- 2a = 2a + 52 - 2a

combine like terms

4a = 52

divide both sides by the same factor

4a = 52

4a divided 4 = 52 divided 4

simplify the expression

4a 52

4 4

cancel terms that are both in numerator and denominator

divide the numbers

a = 13

User Frixhax
by
7.7k points
2 votes

Answer:

a = 13

Explanation:

First, expand both sides:

3 (2a - 20) = (3 x 2a) - 3 (20) = 6a - 60

2 (a - 4) = 2a - 8

Set the equation up again and isolate a:

6a - 60 = 2a - 8

Add 60 to both sides

6a = 2a + 52

Subtract 2a from both sides

4a = 52

Divide both sides by 4

a = 13

User Christian Bueno
by
7.1k points