If the equation is 1/3(2x - 3/7)+(1/6)x = 4/7 , then the value of x is 3/7.
The given equation is
1/3(2x - 3/7)+(1/6)x = 4/7
First we have to apply the distributive property of subtraction in the equation
1/3(2x - 3/7)+(1/6)x = 4/7
(3/2)x - 1/7 + (1/6)x = 4/7
Here we have to rearrange the terms and group the like terms
Move the 1/7 to right hand side of the equation
(3/2)x + (1/6)x = (4/7)+(1/7)
Addition of like terms
(5/3)x = 5/7
Move the 5/3 to the right hand side of the equation
x = 5/7 ÷ 5/3
x = 5/7 × 3/5
x = 3/7
Hence, if the equation is 1/3(2x - 3/7)+(1/6)x = 4/7 , then the value of x is 3/7
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