Answer:
x = 5/14
Explanation:
Step 1: Distribute 1/5 to every term inside (x + 10):
-1/5x = (1/5 * x) + (1/5 * 10) - 6x
-1/5x = 1/5x + 2 - 6x
Step 2: Combine like terms:
-1/5x = -29/5x + 2
Step 3: Add -29/5x to both sides:
(-1/5x = -29/5x + 2) + 29/5x
28/5x = 2
Step 4: Divide both sides by 28/5 to solve for x. Note that dividing by a fraction is the same as multiplying by its reciprocal (i.e., 5/28):
(28/5x = 2) / (28/5)
(28/5x = 2) * (5/28)
x = 5/14
Thus, x = 5/14.