To solve the inequality 2x + 3 < 2x + 3x + 5, we start by simplifying it.
Step 1: Combine like terms on the right side:
2x + 3 < 2x + 3x + 5
This simplifies to:
2x + 3 < 5x + 5
Step 2: Subtract 2x from both sides:
3 < 5x – 2x + 5
This simplifies to:
3 < 3x + 5
Step 3: Next, subtract 5 from both sides:
3 – 5 < 3x
Which gives us:
-2 < 3x
Step 4: Divide both sides by 3:
-2 / 3 < x
This can be rewritten as:
x > -2/3
In conclusion, the solution to the inequality is:
x > -2/3
This means that any value greater than -2/3 will satisfy the inequality.