which equation is equivalent to 5x-2(7x+1)=14x? why?
a -9x-2=14x
b -9xt1=14x
c -9x+2=14x
d 12x-1=14x
it is A...
i got a
5x-2(7x+1)=14x
5x-14x-2=14x
-9x-2=14x
To determine which equation is equivalent to 5x-2(7x+1)=14x, we need to simplify the equation by expanding and combining like terms.
First, let's distribute the -2 to (7x+1):
5x - 2(7x+1) = 14x
5x - 14x - 2 = 14x
Next, combine like terms on the left side of the equation:
(5x - 14x) - 2 = 14x
-9x - 2 = 14x
Therefore, the equivalent equation is:
c) -9x + 2 = 14x
To find the equation that is equivalent to 5x - 2(7x + 1) = 14x, we need to simplify and solve for x using the distributive property and combining like terms.
First, let's distribute the -2 inside the parentheses:
5x - 2(7x + 1) = 14x
5x - 14x - 2 = 14x
Next, combine the 'x' terms on the left side:
-9x - 2 = 14x
Now, let's isolate the 'x' term by moving the constants to the opposite side:
-9x = 14x + 2
To simplify further, let's get rid of the coefficient on x by adding 9x to both sides:
-9x + 9x = 14x + 2 + 9x
0 = 23x + 2
Finally, to find x, we need to isolate it on one side. Let's subtract 2 from both sides:
0 - 2 = 23x + 2 - 2
-2 = 23x
Now, divide both sides by 23 to solve for x:
-2/23 = 23x/23
-2/23 = x
Therefore, the equation equivalent to 5x - 2(7x + 1) = 14x is:
c) -9x + 2 = 14x, because after simplification and solving for x, we get x = -2/23.