Solve for X
1. 8x - 5 = 3x + 20
2. 10x + 5 = 7x - 16
3. 13x + 24 = 3x - 26
1. To solve for x, we need to isolate the x term on one side. Start by subtracting 3x from both sides:
8x - 3x - 5 = 3x - 3x + 20
5x - 5 = 20
Next, add 5 to both sides:
5x - 5 + 5 = 20 + 5
5x = 25
Finally, divide both sides by 5:
5x/5 = 25/5
x = 5
Therefore, x = 5.
2. Start by subtracting 7x from both sides:
10x - 7x + 5 = 7x - 7x - 16
3x + 5 = -16
Next, subtract 5 from both sides:
3x + 5 - 5 = -16 - 5
3x = -21
Finally, divide both sides by 3:
3x/3 = -21/3
x = -7
Therefore, x = -7.
3. Start by subtracting 3x from both sides:
13x - 3x + 24 = 3x - 3x - 26
10x + 24 = -26
Next, subtract 24 from both sides:
10x + 24 - 24 = -26 - 24
10x = -50
Finally, divide both sides by 10:
10x/10 = -50/10
x = -5
Therefore, x = -5.
Solve for X
1. 9x + 16 = 6x + 1
2. 4x - 3 = 3x - 9
3. 3x - 3 = 6x + 18
1. To solve for x, subtract 6x from both sides:
9x - 6x + 16 = 6x - 6x + 1
3x + 16 = 1
Next, subtract 16 from both sides:
3x + 16 - 16 = 1 - 16
3x = -15
Finally, divide both sides by 3:
3x/3 = -15/3
x = -5
Therefore, x = -5.
2. To solve for x, subtract 3x from both sides:
4x - 3x - 3 = 3x - 3x - 9
x - 3 = -9
Next, add 3 to both sides:
x - 3 + 3 = -9 + 3
x = -6
Therefore, x = -6.
3. To solve for x, subtract 6x from both sides:
3x - 6x - 3 = 6x - 6x + 18
-3x - 3 = 18
Next, add 3 to both sides:
-3x - 3 + 3 = 18 + 3
-3x = 21
Finally, divide both sides by -3:
-3x/-3 = 21/-3
x = -7
Therefore, x = -7.