How do I solve this algebra problem?

\[2(4a - 12) + 3a = 6a + 1\]

2 ( 4 a − 12 ) + 3 a = 6 a + 1 8 a − 24 + 3 a = 6 a + 1 11 a − 24 = 6 a + 1 11 a − 6 a = 1 + 24 5 a = 25 a = 5 25 ​ = 5 ​

Answered by mariamikayla | 2024-06-10

The solution to this equation is a=5.
We are given that;
The expression 2(4a-12)+3a=6a+1
Now,
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction .
To solve the equation 2(4a-12)+3a=6a+1, you can follow these steps:
Distribute the 2 to the terms inside the parentheses : 8a - 24 + 3a = 6a + 1
Combine like terms: 11a - 24 = 6a + 1
Move all terms containing a to the left side of the equation: 5a - 24 = 1
Add 24 to both sides of the equation: 5a = 25
Divide both sides by 5: a = 5
Therefore, by algebra the answer will be a=5.
More about the Algebra link is given below.
brainly.com/question/953809
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The complete question is;
Find the solution of the equation 2(4a-12)+3a=6a+1.

Answered by shivishivangi1679 | 2024-06-17

To solve the equation 2 ( 4 a − 12 ) + 3 a = 6 a + 1 , distribute and combine like terms to isolate a . After rearranging and solving, the result is a = 5 .
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Answered by shivishivangi1679 | 2024-12-26