Answer:
[tex]x = \bf -7[/tex]
Step-by-step explanation:
[tex]\frac{3}{4} (x + 21) = 10\frac{1}{2}[/tex]
• Divide both sides by [tex]\frac{3}{4}[/tex] :
⇒ [tex]x + 21 = 10\frac{1}{2} \space\ \div \frac{3}{4}[/tex]
⇒ [tex]x + 21 = 10\frac{1}{2} \space\ \times \frac{4}{3}[/tex]
⇒ [tex]x + 21 = 14[/tex]
• Subtract 21 from both sides:
⇒ [tex]x = 14 -21[/tex]
⇒ [tex]\boxed {x = \bf -7}[/tex]
