Answer:
x = -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
- [tex](4)(-2) + (4)(-9.2x)=(3)(2)+(3)(-7.6x)[/tex]
- [tex]-8 - 36.8x = 6 - 22.8x[/tex]
- [tex]-36.8x - 8 = -22.8x + 6[/tex]
Step 2: Add 22.8x to both sides.
- [tex]-36.8x - 8 + 22.8x = -22.8x + 6 + 22.8x[/tex]
- [tex]-14x - 8 = 6[/tex]
Step 3: Add 8 to both sides.
- [tex]-14x - 8 + 8 = 6 + 8[/tex]
- [tex]-14x = 14[/tex]
Step 4: Divide both sides by -14.
- [tex]\frac{-14x}{-14}=\frac{14}{-14}[/tex]
- [tex]x = -1[/tex]
Therefore, x = -1.
