Solve for X
1. 4(3x+2)=32
2. -2(3x-15)=60
3. 5(2x-8)=-30
4. 4(3x+2)+3=35
5. -2(3x-15)-4=56
1. 4(3x+2) = 32
12x + 8 = 32
12x = 32 - 8
12x = 24
x = 24/12
x = 2
2. -2(3x-15) = 60
-6x + 30 = 60
-6x = 60 - 30
-6x = 30
x = 30/-6
x = -5
3. 5(2x-8) = -30
10x - 40 = -30
10x = -30 + 40
10x = 10
x = 10/10
x = 1
4. 4(3x+2) + 3 = 35
12x + 8 + 3 = 35
12x + 11 = 35
12x = 35 - 11
12x = 24
x = 24/12
x = 2
5. -2(3x-15) - 4 = 56
-6x + 30 - 4 = 56
-6x + 26 = 56
-6x = 56 - 26
-6x = 30
x = 30/-6
x = -5
Solve for X
1. -4(2x-11)=12
2. -3(-4x-3)=-27
3. 2x-4x-3=-27
4. 4(3x+10)-2=54
5. 20x-5(6x+15)=-45
1. -4(2x-11) = 12
-8x + 44 = 12
-8x = 12 - 44
-8x = -32
x = -32/-8
x = 4
2. -3(-4x-3) = -27
12x + 9 = -27
12x = -27 - 9
12x = -36
x = -36/12
x = -3
3. 2x - 4x - 3 = -27
-2x - 3 = -27
-2x = -27 + 3
-2x = -24
x = -24/-2
x = 12
4. 4(3x+10) - 2 = 54
12x + 40 - 2 = 54
12x + 38 = 54
12x = 54 - 38
12x = 16
x = 16/12
x = 4/3
5. 20x - 5(6x+15) = -45
20x - 30x - 75 = -45
-10x - 75 = -45
-10x = -45 + 75
-10x = 30
x = 30/-10
x = -3
For number 4 the options are
x=-8
x=8
x=-4
x=4
Let's solve for x in number 4:
4(3x+10) - 2 = 54
12x + 40 - 2 = 54
12x + 38 = 54
12x = 54 - 38
12x = 16
x = 16/12
x = 4/3
None of the options (x = -8, x = 8, x = -4, x = 4) match the solution we found.
-4 (3x + 10) -2 =54
Solve for X
Let's solve for x in the equation:
-4(3x + 10) - 2 = 54
Distribute the -4 on the left side:
-12x - 40 - 2 = 54
Combine like terms:
-12x - 42 = 54
Add 42 to both sides:
-12x = 96
Divide by -12:
x = 96 / -12
x = -8
Therefore, x = -8 is the solution.