Question

$$17(x+5)+15(x+4) > -1-14(3x+16)$$

Answer

x>-5

Solution


Expand.
\[17x+85+15x+60>-1-42x-224\]
Simplify  \(17x+85+15x+60\)  to  \(32x+145\).
\[32x+145>-1-42x-224\]
Simplify  \(-1-42x-224\)  to  \(-42x-225\).
\[32x+145>-42x-225\]
Add \(42x\) to both sides.
\[32x+145+42x>-225\]
Simplify  \(32x+145+42x\)  to  \(74x+145\).
\[74x+145>-225\]
Subtract \(145\) from both sides.
\[74x>-225-145\]
Simplify  \(-225-145\)  to  \(-370\).
\[74x>-370\]
Divide both sides by \(74\).
\[x>-\frac{370}{74}\]
Simplify  \(\frac{370}{74}\)  to  \(5\).
\[x>-5\]