1) 2x = 17 + 3x Subtract 2x from both sides: 0 = 17 + x Subtract 17 from both sides: x = -17
2) 4(x-2) = 2x + 6 Distribute the 4 on the left side: 4x - 8 = 2x + 6 Subtract 2x from both sides: 2x - 8 = 6 Add 8 to both sides: 2x = 14 Divide by 2: x = 7
3) 9 - 6x = 3x - 6 Add 6x to both sides: 9 = 9x - 6 Add 6 to both sides: 15 = 9x Divide by 9: x = 5/3
4) 5.2 + 2x = 7(x - 0.6) Distribute the 7 on the right side: 5.2 + 2x = 7x - 4.2 Subtract 2x from both sides: 5.2 = 5x - 4.2 Add 4.2 to both sides: 9.4 = 5x Divide by 5: x = 1.88
5) -3(2y + 7) - 1 = 12 Distribute the -3 on the left side: -6y - 21 - 1 = 12 Combine like terms: -6y - 22 = 12 Add 22 to both sides: -6y = 34 Divide by -6: y = -5.67
1) 2x = 17 + 3x
Subtract 2x from both sides:
0 = 17 + x
Subtract 17 from both sides:
x = -17
2) 4(x-2) = 2x + 6
Distribute the 4 on the left side:
4x - 8 = 2x + 6
Subtract 2x from both sides:
2x - 8 = 6
Add 8 to both sides:
2x = 14
Divide by 2:
x = 7
3) 9 - 6x = 3x - 6
Add 6x to both sides:
9 = 9x - 6
Add 6 to both sides:
15 = 9x
Divide by 9:
x = 5/3
4) 5.2 + 2x = 7(x - 0.6)
Distribute the 7 on the right side:
5.2 + 2x = 7x - 4.2
Subtract 2x from both sides:
5.2 = 5x - 4.2
Add 4.2 to both sides:
9.4 = 5x
Divide by 5:
x = 1.88
5) -3(2y + 7) - 1 = 12
Distribute the -3 on the left side:
-6y - 21 - 1 = 12
Combine like terms:
-6y - 22 = 12
Add 22 to both sides:
-6y = 34
Divide by -6:
y = -5.67