−4(x + 4x) = 2(2 − x) + 10

Answer 1

To solve the equation, let's simplify each side step by step:

Starting with the left side:
-4(x + 4x) = -4(5x) = -20x

Now let's simplify the right side:
2(2 - x) + 10 = 4 - 2x + 10 = 14 - 2x

So the equation becomes:
-20x = 14 - 2x

Next, let's isolate the variable x by moving all terms containing x to one side:
-20x + 2x = 14

Simplifying further, we have:
-18x = 14

Finally, let's solve for x by dividing both sides of the equation by -18:
x = 14 / -18

The simplified solution is:
x = -7/9