Chapter 2 - Solving Equations - 2-6 Ratios, Rates, and Conversions - Mixed Review - Page 123: 51

x=6

We need to get the x alone, so we cancel out the subtraction by adding 8 on both sides. This leaves us with the equation $-2/3x=-4$. We cancel out the fact that x is being multiplied by a fraction by multiplying by the reciprocal of -2/3, so we multiply both sides by -3/2 to get that x=6. We plug 6 in for x and confirm that our answer is, indeed, correct.