i still need help on this problem
( 5x-2)-(6-2x)=-x-9+5x
( 5x-2)-(6-2x)=-x-9+5x
5x - 2 - 6 + 2x = 6x - 9
7x - 6x = -9 + 8
x = -1
use equivalent ratios to solve the proportion. x\35=4\7
To solve the problem (5x - 2) - (6 - 2x) = -x - 9 + 5x, we can start by simplifying each side of the equation.
On the left side of the equation, we have (5x - 2) - (6 - 2x). To simplify it, we need to remove the parentheses using the distributive property:
(5x - 2) - (6 - 2x) = 5x - 2 - 6 + 2x
On the right side of the equation, we have -x - 9 + 5x. To simplify it, we need to combine like terms:
-x - 9 + 5x = 4x - 9
Now our equation becomes:
5x - 2 - 6 + 2x = 4x - 9
Next, we can combine like terms on the left side of the equation:
(5x + 2x) - (2 + 6) = 4x - 9
7x - 8 = 4x - 9
To isolate the variable x, we want to move all the terms containing x to one side while keeping the constant terms on the other side. Let's move the 4x term to the left side by subtracting 4x from both sides:
7x - 4x - 8 = 4x - 4x - 9
3x - 8 = -9
Next, let's move the constant term -8 to the right side by adding 8 to both sides:
3x - 8 + 8 = -9 + 8
3x = -1
Finally, we can solve for x by dividing both sides of the equation by 3:
3x/3 = -1/3
x = -1/3
Therefore, the solution to the equation (5x - 2) - (6 - 2x) = -x - 9 + 5x is x = -1/3.