Answer:
x = 0
Explanation:
Step 1: Distribute the negative sign and the -3:
-x + (-1 * 13 - 1 * 4x) = (-3 * 5 - 3 * -9x) + 2
-x - 13 - 4x = -15 + 27x + 2
Step 2: Combine like terms on the left-hand and right-hand side:
(-x - 4x) - 13 = 27x + (-15 + 2)
-5x - 13 = 27x -13
Step 3: Add 13 to both sides:
(-5x - 13 = 27x - 13) + 13
-5x = 27x
Step 4: Add 5x to both sides:
(-5x = 27x) + 5x
0 = 32x
Step 5: Divide both sides by 32 to solve for x:
(0 = 32x) / 32
0 = x
Optional Step 6: Check the validity of the answer by substituting 0 for x and checking whether we get the same answer on both sides of the equation:
-0 - (13 + 4 * 0) = -3(5 - 9 * 0) + 2
-(13) = -3(5) + 2
-13 = -15 + 2
-13 = -13
Thus, our answer is correct.