1. Solve for x. 4 (3x + 2) = 32
2. Solve for x. -2 (3x - 15) = 60
3. Solve for x. 5 (2x - 8) = -30
4. Solve for x. 4 (3x + 2) + 3 = 35
5. Solve for x. -2 (3x - 15) - 4 = 56
1. To solve for x, we will first distribute the 4 to both terms inside the parentheses:
12x + 8 = 32
Next, we will subtract 8 from both sides of the equation:
12x = 24
Finally, we will divide both sides by 12 to solve for x:
x = 2
2. To solve for x, we will first distribute the -2 to both terms inside the parentheses:
-6x + 30 = 60
Next, we will subtract 30 from both sides of the equation:
-6x = 30
Finally, we will divide both sides by -6 to solve for x:
x = -5
3. To solve for x, we will first distribute the 5 to both terms inside the parentheses:
10x - 40 = -30
Next, we will add 40 to both sides of the equation:
10x = 10
Finally, we will divide both sides by 10 to solve for x:
x = 1
4. To solve for x, we will first distribute the 4 to both terms inside the parentheses:
12x + 8 + 3 = 35
Next, we will combine like terms on the left side of the equation:
12x + 11 = 35
Next, we will subtract 11 from both sides of the equation:
12x = 24
Finally, we will divide both sides by 12 to solve for x:
x = 2
5. To solve for x, we will first distribute the -2 to both terms inside the parentheses:
-6x + 30 - 4 = 56
Next, we will combine like terms on the left side of the equation:
-6x + 26 = 56
Next, we will subtract 26 from both sides of the equation:
-6x = 30
Finally, we will divide both sides by -6 to solve for x:
x = -5
1. Solve for x. -4 (2x - 11) = 12
2. Solve for x. -3 (-4x - 3) = -27
3. Solve for x. 2x - 4x - 3 = -27
4. Solve for x. -4 (3x + 10) - 2 = 54
5. Solve for x. 20x - 5 (6x + 15) = -45
1. To solve for x, we will first distribute the -4 to both terms inside the parentheses:
-8x + 44 = 12
Next, we will subtract 44 from both sides of the equation:
-8x = -32
Finally, we will divide both sides by -8 to solve for x:
x = 4
2. To solve for x, we will first distribute the -3 to both terms inside the parentheses:
12x + 9 = -27
Next, we will subtract 9 from both sides of the equation:
12x = -36
Finally, we will divide both sides by 12 to solve for x:
x = -3
3. To solve for x, we will combine like terms on the left side of the equation:
-2x - 3 = -27
Next, we will add 3 to both sides of the equation:
-2x = -24
Finally, we will divide both sides by -2 to solve for x:
x = 12
4. To solve for x, we will first distribute the -4 to both terms inside the parentheses:
-12x - 40 - 2 = 54
Next, we will combine like terms on the left side of the equation:
-12x - 42 = 54
Next, we will add 42 to both sides of the equation:
-12x = 96
Finally, we will divide both sides by -12 to solve for x:
x = -8
5. To solve for x, we will first distribute the -5 to both terms inside the parentheses:
20x - 30x - 75 = -45
Next, we will combine like terms on the left side of the equation:
-10x - 75 = -45
Next, we will add 75 to both sides of the equation:
-10x = 30
Finally, we will divide both sides by -10 to solve for x:
x = -3