Answer:
a) 36
b) 8.5
c) 5/2
d) 6
e) 9
f) 8
Step-by-step explanation:
a) [tex]x \div 3 =12[/tex]
Multiply both sides by 3
[tex]x \div 3 =12\\3*(x \div 3) = 12*3\\x=36[/tex]
b) [tex]2x+3=20[/tex]
Subtracting 3 from both sides
[tex]2x+3-3=20-3\\2x=20-3\\2x=17\\x=\frac{17}{2}\\x=8.5[/tex]
c) [tex]\frac{4}{3}x=\frac{10}{3}[/tex]
Multiply both sides by 3/4
[tex]\frac{4}{3}x*\frac{3}{4} =\frac{10}{3} *\frac{3}{4}\\x=\frac{5}{2}[/tex]
d) [tex]-4x=-24[/tex]
Divide both sides by -4
[tex]-4x=-24\\\frac{-4x}{-4}=\frac{-24}{-4}\\x=6[/tex]
e) [tex]2(x-4)=10[/tex]
Divide both sides by 2
[tex]2(x-4)=10\\\frac{2(x-4)}{2}=\frac{10}{2}\\x-4=5\\Adding \ 4 \ on \ both \ sides\\x-4+4=5+4\\x=9[/tex]
f) [tex]-0.5x+1.1=-2.9[/tex]
Subtracting 1.1 on both sides
[tex]-0.5x+1.1-1.1=-2.9-1.1\\-0.5x=-4\\Divide \ both \ sides \ by \ -0.5\\\frac{-0.5x}{-0.5}=\frac{-4}{-0.5}\\x=8[/tex]
