​Solve for x.



−2(x+1/3)+9x=4

1 answer

To solve for x, we need to simplify the equation and isolate the variable.

Start by distributing the -2 to both terms inside the parentheses:
-2(x) - 2(1/3) + 9x = 4

Simplify:
-2x - 2/3 + 9x = 4

Combine like terms:
-2x + 9x - 2/3 = 4

Combine the x terms:
7x - 2/3 = 4

To eliminate the fraction, multiply both sides of the equation by 3:
3(7x - 2/3) = 3(4)
21x - 2 = 12

Add 2 to both sides of the equation:
21x = 14

Divide both sides by 21:
x = 14/21

Simplify the fraction:
x = 2/3
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