Question

Solve for x. 21/2x−3/4(2x+5)=3/8

Answer 1

4 1/8 is the correct answer. I just did the test

Answer 2

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