Question

Help me please
How many solutions does the equation
x -4 = 12 - 2x have? Explain.
- ? .

Answer 1

Answer: one solution.

Step-by-step explanation:

$\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6$

This equation has one solution:  x = 6.