Simplify \frac{21}{2}x
2
21
x to \frac{21x}{2}
2
21x
\frac{21x}{2}-\frac{3}{4}(2x+5)=\frac{3}{8}
2
21x
−
4
3
(2x+5)=
8
3
2 Simplify \frac{3}{4}(2x+5)
4
3
(2x+5) to \frac{3(2x+5)}{4}
4
3(2x+5)
\frac{21x}{2}-\frac{3(2x+5)}{4}=\frac{3}{8}
2
21x
−
4
3(2x+5)
=
8
3
3 Multiply both sides by 44 (the LCM of 2, 42,4)
42x-3(2x+5)=\frac{3}{2}42x−3(2x+5)=
2
3
4 Expand
42x-6x-15=\frac{3}{2}42x−6x−15=
2
3
5 Simplify 42x-6x-1542x−6x−15 to 36x-1536x−15
36x-15=\frac{3}{2}36x−15=
2
3
6 Add 1515 to both sides
36x=\frac{3}{2}+1536x=
2
3
+15
7 Simplify \frac{3}{2}+15
2
3
+15 to \frac{33}{2}
2
33
36x=\frac{33}{2}36x=
2
33
8 Divide both sides by 3636
x=\frac{\frac{33}{2}}{36}x=
36
2
33
9 Simplify \frac{\frac{33}{2}}{36}
36
2
33
to \frac{33}{2\times 36}
2×36
33
x=\frac{33}{2\times 36}x=
2×36
33
10 Simplify 2\times 362×36 to 7272
x=\frac{33}{72}x=
72
33
11 Simplify \frac{33}{72}
72
33
to \frac{11}{24}
24
11
x=\frac{11}{24}x=
24
11
X=11 over 24
