To solve this equation, we first need to distribute the 2/3 to the terms in the parentheses on the left side of the equation:
2/3 (6x - 3) = 8 - (5x + 1)
This becomes:
(4x - 2) = 8 - (5x + 1)
Next, we need to simplify the right side of the equation by first removing the parentheses:
4x - 2 = 8 - 5x - 1
4x - 2 = 7 - 5x
Now, we can combine like terms by adding 5x to both sides of the equation:
4x + 5x - 2 = 7
9x - 2 = 7
Next, we add 2 to both sides of the equation:
9x = 9
Finally, we divide both sides by 9 to solve for x:
x = 1
Therefore, the solution to the equation is x = 1.
To solve this equation, we first need to distribute the 2/3 to the terms in the parentheses on the left side of the equation:
2/3 (6x - 3) = 8 - (5x + 1)
This becomes:
(4x - 2) = 8 - (5x + 1)
Next, we need to simplify the right side of the equation by first removing the parentheses:
4x - 2 = 8 - 5x - 1
This becomes:
4x - 2 = 7 - 5x
Now, we can combine like terms by adding 5x to both sides of the equation:
4x + 5x - 2 = 7
This becomes:
9x - 2 = 7
Next, we add 2 to both sides of the equation:
9x = 9
Finally, we divide both sides by 9 to solve for x:
x = 1
Therefore, the solution to the equation is x = 1.