[tex]-5x+6(4x+15)=242\qquad|\text{use distributive property}\\\\-5x+(6)(4x)+(6)(15)=242\\\\-5x+24x+90=242\qquad|\text{subtract 90 from both sides}\\\\19x=152\qquad|\text{divide both sides by 19}\\\\x=8[/tex]
Hello there!
The answer it should be the the last option "x=8".
[tex]-5x+6(4x+15)=242\\[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓
First you had to expand the form.
[tex]6(4x+15):24x+90[/tex]
[tex]-5x+24x+90=242[/tex]
Then you had to add similar by the elements.
[tex]-5x+24x=19x[/tex]
[tex]19x+90=242[/tex]
You had to subtract by 90 from both sides of the equation.
[tex]19x+90-90=242-90[/tex]
Simplify
[tex]19x=152[/tex]
Divide by 19 from both sides of the equation.
[tex]\frac{19x}{19}=\frac{152}{19}[/tex]
Simplify it should be the correct answer.
[tex]x=8[/tex]
Answer⇒⇒⇒⇒x=8
Hope this helps!
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Have a great day!
-Charlie
