Answer:
x = -4
Step-by-step explanation:
Step 1: Apply distributive property.
- [tex](4)(x)+(4)(2)-2x=0[/tex]
- [tex]4x + 8 - 2x = 0[/tex]
Step 2: Combine like terms.
- [tex](4x-2x)+(8)=0[/tex]
- [tex]2x + 8 = 0[/tex]
Step 3: Subtract 8 from both sides.
- [tex]2x + 8 - 8 = 0 - 8[/tex]
- [tex]2x = -8[/tex]
Step 4: Divide both sides by 2.
- [tex]\frac{2x}{2} = \frac{-8}{2}[/tex]
- [tex]x = -4[/tex]
Step 5: Check if solution is correct.
- [tex]4(-4+2)-2(-4)=0[/tex]
- [tex](4)(-4)+(4)(2)+8=0[/tex]
- [tex]-16 + 8 + 8 = 0[/tex]
- [tex]-8 + 8 = 0[/tex]
- [tex]0 = 0[/tex]
Therefore, x = -4.