Answer:
a) x = 3
b) x = 10
c) x = 28
Explanation:
a)
[tex]\sf 6x + 3 = 21[/tex]
collect term
[tex]\sf 6x = 21-3[/tex]
simplify
[tex]\sf 6x = 18[/tex]
divide both both sides by 6
[tex]\sf x = 3[/tex]
b)
[tex]\sf 15(x - 5) = 75[/tex]
distribute
[tex]\sf 15x - 75 = 75[/tex]
collect terms
[tex]\sf 15x = 75 + 75[/tex]
combine
[tex]\sf 15x = 150[/tex]
divide both sides by 15
[tex]\sf x = 10[/tex]
c)
[tex]\sf \frac{3}{4} x +5 = 26[/tex]
collect like terms
[tex]\sf \frac{3}{4} x = 26-5[/tex]
combine
[tex]\sf \frac{3}{4} x = 21[/tex]
cross multiply
[tex]\sf x = \frac{ 21 (4)}{3}[/tex]
simplify
[tex]\sf x =28[/tex]
