Solve for x. 21/2x-3/4 (2x+5) = 3/8

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