1) 2(2x + 1) - (7 - x) = 3(5x - 3)Expand both sides:4x + 2 - 7 + x = 15x - 9Combine like terms:5x - 5 = 15x - 9Subtract 5x from both sides:-5 = 10x - 9Add 9 to both sides:4 = 10xDivide by 10:x = 0.4
2) 6x + 4 - 16x - 12 = 28Combine like terms:-10x - 8 = 28Add 8 to both sides:-10x = 36Divide by -10:x = -3.6
Therefore, the solutions to the equations are x = 0.4 and x = -3.6.
1) 2(2x + 1) - (7 - x) = 3(5x - 3)
Expand both sides:
4x + 2 - 7 + x = 15x - 9
Combine like terms:
5x - 5 = 15x - 9
Subtract 5x from both sides:
-5 = 10x - 9
Add 9 to both sides:
4 = 10x
Divide by 10:
x = 0.4
2) 6x + 4 - 16x - 12 = 28
Combine like terms:
-10x - 8 = 28
Add 8 to both sides:
-10x = 36
Divide by -10:
x = -3.6
Therefore, the solutions to the equations are x = 0.4 and x = -3.6.