To solve for x in the equation -3/7x - 1/2 = -5, we can follow these steps:
1. Add 1/2 to both sides of the equation to isolate the x term:
-3/7x = -5 + 1/2
2. Simplify the right side of the equation:
-3/7x = -10/2 + 1/2
-3/7x = -9/2
3. Multiply both sides of the equation by the reciprocal of -3/7, which is -7/3, to eliminate the fraction:
(-7/3)(-3/7)x = (-7/3)(-9/2)
4. Simplify the left side and right side of the equation:
x = 63/6
x = 10.5