Final answer:
To solve the given equation, you need to simplify and isolate the variable x. The solution is x = -12.
Step-by-step explanation:
To solve the equation 4x-2(x+1)=3x+10, we need to simplify and isolate the variable x.
- Distribute the -2 to the terms inside the parentheses: 4x-2x-2 = 3x+10
- Combine like terms: 2x-2 = 3x+10
- Subtract 2x from both sides: -2 = 3x-2x+10
- Combine like terms: -2 = x+10
- Subtract 10 from both sides: -2-10 = x+10-10
- Combine like terms: -12 = x
So the solution to the equation is x = -12.