Working with linear equations:
3(2x+1) - 4 (x+2) = 9
3(2x+1) - 4 (x+2) = 9
6x+3 - (4x+8) = 9
6x + 3 - 4x - 8 = 9
2x = 14
x = 7
Thank u :)
To solve the given equation, we will use the distributive property and combine like terms to simplify the equation. Here's how you can solve it step by step:
1. Start by distributing the coefficients to their respective terms inside the parentheses:
3 * 2x = 6x
3 * 1 = 3
Similarly,
-4 * x = -4x
-4 * 2 = -8
The equation becomes:
6x + 3 - 4x - 8 = 9
2. Combine like terms:
(6x - 4x) + (3 - 8) = 9
2x - 5 = 9
3. Now, isolate the variable on one side of the equation. In this case, we need to move the constant term (-5) to the other side by adding 5 to both sides of the equation:
2x - 5 + 5 = 9 + 5
2x = 14
4. Finally, solve for x by dividing both sides of the equation by the coefficient of x, which is 2:
2x/2 = 14/2
x = 7
Therefore, the solution to the equation 3(2x+1) - 4 (x+2) = 9 is x = 7.