2(x+3)=-4(x+1) my answer is 5/3 am i right?
It's - 5/3
2(x+3)=-4(x+1)
2x + 6 = -4x - 4
6x = -10
x - -10/6 = -5/3
To solve the equation 2(x+3) = -4(x+1), we can simplify the equation, then isolate the variable (x). Let's go step by step:
1. Distribute the multiplication on both sides of the equation:
2 * x + 2 * 3 = -4 * x - 4 * 1
2x + 6 = -4x - 4
2. Combine like terms:
Rearranging the equation:
2x + 4x = -4 - 6
6x = -10
3. Isolate the variable by getting rid of the constant term (6) by dividing both sides of the equation by 6:
6x/6 = -10/6
x = -10/6
So, the value of x is -10/6, which can also be simplified to -5/3.
Therefore, your answer of 5/3 is incorrect. The correct solution to the equation is x = -10/6 or -5/3.