Answer:
1) x = 3/2 2) x = 6 3) x = 3
Explanation:
For Number 1:
4(x+8)−4=34 
Step 1: Simplify both sides of the equation. 
4(x+8)−4=34 
(4)(x)+(4)(8)+−4=34(Distribute) 
4x+32+−4=34 
(4x)+(32+−4)=34(Combine Like Terms) 
4x+28=34 
Step 2: Subtract 28 from both sides. 
4x=6 
Step 3: Divide both sides by 4. 
4x/4 = 6/4
x = 3/2
For Number 2: 
2/3(9+x)=−5(4−x)
Step 1: Simplify both sides of the equation.
6 + 2/3x = −20+5x
Step 2: Subtract 5x from both sides.
−13 /3 x+6=−20 
Step 3: Subtract 6 from both sides.
-13/3x = -26
Step 4: Multiply both sides by 3/(-13)
x = 6
For Number 3:
−3(x+4)+15=6−4x 
Step 1: Simplify both sides of the equation. 
−3(x+4)+15=6−4x 
(−3)(x)+(−3)(4)+15=6+−4x(Distribute) 
−3x+−12+15=6+−4x 
(−3x)+(−12+15)=−4x+6(Combine Like Terms) 
−3x+3=−4x+6 
−3x+3=−4x+6 
Step 2: Add 4x to both sides. 
−3x+3+4x=−4x+6+4x 
x+3=6 
Step 3: Subtract 3 from both sides. 
x+3−3=6−3 
x = 3