Negative four is multiplied through the quantity x + 8. If 6x is then added to this, the output is 2x + 32. What is the value of x? twice the quantity x + 6 is divided by negative four, the result is 5. Find out the number.

This problem translates to the equation -4 (x + 8) + 6x = 2x + 32. Remember to use parentheses for the expression while the words the quantity are used. Use distributive property on the left side of the equation: -4x - 32 + 6x = 2x + 32. Combine such as terms on the left side of the equation: 2x - 32 = 2x + 32. Subtract 2x from both sides of the equation: 2x - 2x - 32 = 2x - 2x + 32. The two sides are not equal. There is no solution: -32 ≠ 32.