Solve this equation for X
7x + -49x = 14
X= -1/3
7x + (-49x) = 14.
-42x = 14,
X = -1/3.
To solve the equation 7x - 49x = 14 for x, we need to simplify the equation and rearrange it to isolate the unknown variable x.
Step 1: Combine like terms
In the equation, we have 7x and -49x on the left side. To combine these terms, we can simplify the equation as follows:
-42x = 14
Step 2: Isolate x
Next, we want to isolate x on one side of the equation. To do this, we need to get rid of the -42 coefficient that is multiplying x. We can achieve this by dividing both sides of the equation by -42:
(-42x) / -42 = 14 / -42
x = -14/42
Step 3: Simplify the result
Finally, we simplify the result by dividing -14 by 42:
x = -1/3
So, the solution to the equation 7x - 49x = 14 is x = -1/3.