a)6(x-4)+2(x+5)= 3(x-1)+4
6x-24+2x+10= 3x-3+4
6x+2x-3x= 24-10-3+4
5x=15
x= 15:5
x=3
b)3(2p-1)= 5(1-p)+3
6p-3= 5-5p+3
6p+5p= 5+3+3
11p=11
p= 11:11
p= 1
c)[tex]\frac{x}{2}[/tex] + [tex]\frac{x}{3}[/tex] - [tex]\frac{x}{4}[/tex] = 14
[tex]\frac{x}{2}[/tex] *6 + [tex]\frac{x}{3}[/tex] * 4 - [tex]\frac{x}{4}[/tex] * 3 = [tex]\frac{14}{1}[/tex] *12
[tex]\frac{6x}{12}[/tex] + [tex]\frac{4x}{12}[/tex] - [tex]\frac{3x}{12}[/tex] = [tex]\frac{168}{12}[/tex]
6x+4x-3x= 168
7x= 168
x= [tex]\frac{168}{7}[/tex]
x= 24
d)x+ [tex]\frac{x}{2}[/tex] + [tex]\frac{3x}{4}[/tex] = 18
x*4 + [tex]\frac{x}{2}[/tex] *2 + [tex]\frac{3x}{4}[/tex] = [tex]\frac{18}{1}[/tex] *4
[tex]\frac{4x}{4}[/tex] + [tex]\frac{2x}{4}[/tex] + [tex]\frac{3x}{4}[/tex] = [tex]\frac{72}{4}[/tex]
4x+2x+3x= 72
9x= 72
x= [tex]\frac{72}{9}[/tex]
x= 8
