rewrite in a simpler equivalent form and solve
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Given:
The equation is
[tex]\dfrac{3x}{7}+\dfrac{2}{7}=2[/tex]
To find:
The simpler equivalent form and solve the given equation.
Solution:
We have,
[tex]\dfrac{3x}{7}+\dfrac{2}{7}=2[/tex]
It can be written as
[tex]\dfrac{3x+2}{7}=2[/tex]
Multiply both sides by 7.
[tex]3x+2=14[/tex]
[tex]3x=14-2[/tex]
[tex]3x=12[/tex]
Divide both sides by 3.
[tex]x=\dfrac{12}{3}[/tex]
[tex]x=4[/tex]
Therefore, the simpler equivalent form of the given equation is [tex]3x+2=14[/tex] and the solution is x=4.