Answer:
1st one: x = -2
2nd one: x = -4
Step-by-step explanation:
1. Step 1: Rewrite into an equation.
- [tex](6x+44) + (-10x+65) = 117[/tex]
- [tex]6x + 44 - 10x + 65 = 117[/tex]
Step 2: Simplify both sides of the equation.
- [tex](6x-10x) + (44+65) = 117[/tex]
- [tex]-4x + 109 = 117[/tex]
Step 3: Subtract 109 from both sides.
- [tex]-4x + 109 - 109 = 117-109[/tex]
- [tex]-4x = 8[/tex]
Step 4: Divide both sides by -4.
- [tex]\frac{-4x}{-4}=\frac{8}{-4}[/tex]
- [tex]x = -2[/tex]
Therefore, x = -2 for the first one.
2. Step 1: Rewrite into an equation.
- [tex]-16x + 13 - 20x + 23 = 180[/tex]
Step 2: Simplify both sides of the equation.
- [tex](-16x-20x)+(13+23)=180[/tex]
- [tex]-36x +36 = 180[/tex]
Step 3: Subtract 36 from both sides.
- [tex]-36x + 36 - 36 = 180 - 36[/tex]
- [tex]-36x = 144[/tex]
Step 4: Divide both sides by -36.
- [tex]\frac{-36x}{-36} = \frac{144}{-36}[/tex]
- [tex]x = -4[/tex]
Therefore, x = -4 for the second one!
