Let's solve the inequality step by step:
2(3x + 4) - 1 < 7 + 8x
Expand the left side:
6x + 8 - 1 < 7 + 8x
Combine like terms:
6x + 7 < 7 + 8x
Subtract 6x from both sides:
7 < 7 + 2x
Subtract 7 from both sides:
0 < 2x
Divide by 2:
0 < x
So the solution to the inequality is x > 0.
Let's solve the inequality step by step:
2(3x + 4) - 1 < 7 + 8x
Expand the left side:
6x + 8 - 1 < 7 + 8x
Combine like terms:
6x + 7 < 7 + 8x
Subtract 6x from both sides:
7 < 7 + 2x
Subtract 7 from both sides:
0 < 2x
Divide by 2:
0 < x
So the solution to the inequality is x > 0.