Answer: x = -1
Step-by-step explanation: First of all, we should calculate the expression on the right first as there are brackets.
7(-2 - 7x)
= -14 - 49x
Now our equation is:
-7x + 28 = -14 - 49x
Then we should start isolating the variable on one side of the equation and the answer (or constant) on the other.
Since moving -7x to the right side to add to - 49x makes a negative number which is a tad bit more difficult, we should add -49x to -7x. Note that -49x becomes 49x when switched over, so on the left side we have:
42x + 28 = -14
Now we can move 28 to the right side to get:
42x = -42
Now we can solve our equation with ease:
42x/42 = -42/42
x = -1
The full answer:
-7x + 28 = 7(-2 - 7x)
-7x + 28 = -14 - 49x
42x = -42
x = -1