solve for x
8x-(2x-1)=3x-10
To solve for x in the equation 8x - (2x - 1) = 3x - 10, you can follow these steps:
Step 1: Distribute the negative sign to the terms inside the parentheses:
8x - 2x + 1 = 3x - 10
Simplifying, we get:
6x + 1 = 3x - 10
Step 2: Move the variable terms to one side and the constant terms to the other side of the equation. To do this, subtract 3x from both sides:
6x - 3x + 1 = 3x - 3x - 10
Simplifying, we get:
3x + 1 = -10
Step 3: Move the constant term to the other side of the equation by subtracting 1 from both sides:
3x + 1 - 1 = -10 - 1
Simplifying, we get:
3x = -11
Step 4: Solve for x by dividing both sides of the equation by 3:
3x/3 = -11/3
Simplifying, we get:
x = -11/3
Therefore, the solution for x is x = -11/3.