8x-(2x-9)=-3
8x + 2x + 9 = -3
10x + 9 = -3
10x = -12
x = -1.2
To solve the equation 8x - (2x - 9) = -3, we'll follow these steps:
Step 1: Simplify the equation by removing the parentheses using the distributive property. The negative sign in front of the parentheses means we need to distribute the negative sign to each term inside the parentheses.
So, 8x - (2x - 9) becomes 8x - 2x + 9.
Step 2: Combine like terms. In this case, we have 8x and -2x, which can be combined to get 6x.
The equation becomes 6x + 9 = -3.
Step 3: Isolate the variable. To do this, we need to move the constant term (9) to the other side of the equation. We can do this by subtracting 9 from both sides.
6x + 9 - 9 = -3 - 9.
Simplifying this equation gives us 6x = -12.
Step 4: Solve for x. To find the value of x, divide both sides of the equation by the coefficient of x, which is 6.
6x/6 = -12/6.
Simplifying this equation, we get x = -2.
So, the solution to the given equation is x = -2.