x-(8+2x/3)+3=x/4-(2-x/24) Solve the equation
Answers
Answer:
The value of x is 24.
Step-by-step explanation:
Given : Expression x-(8+\frac{2x}{3} )+3=\frac{x}{4}-(2-\frac{x}{24} )x−(8+
3
2x
)+3=
4
x
−(2−
24
x
)
To find : Solve the expression ?
Solution :
Expression x-(8+\frac{2x}{3} )+3=\frac{x}{4}-(2-\frac{x}{24} )x−(8+
3
2x
)+3=
4
x
−(2−
24
x
)
x-(\frac{24+2x}{3})+3=\frac{x}{4}-(\frac{48-x}{24})x−(
3
24+2x
)+3=
4
x
−(
24
48−x
)
(\frac{3x-(24+2x)+9}{3})=(\frac{6x-48-x}{24})(
3
3x−(24+2x)+9
)=(
24
6x−48−x
)
\frac{x-15}{3}=\frac{5x-48}{24}
3
x−15
=
24
5x−48
24(x-15)=3(5x-48)24(x−15)=3(5x−48)
24x-360=15x-14424x−360=15x−144
24x-15x=-144+36024x−15x=−144+360
9x=2169x=216
x=\frac{216}{9}x=
9
216
x=24x=24
Therefore, the value of x is 24.
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