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To solve the equation, we need to isolate the variable x.
2/3(x - 6) = 14
To remove the fraction, let's multiply both sides of the equation by the reciprocal of 2/3, which is 3/2, or simply 1.5.
1.5 * 2/3(x - 6) = 1.5 * 14
Multiplying:
1.5 * 2/3(x - 6) = 21
1.5(x - 6) = 21
Distribute 1.5:
1.5x - 9 = 21
Add 9 to both sides:
1.5x - 9 + 9 = 21 + 9
1.5x = 30
Divide both sides by 1.5:
(1.5x)/1.5 = 30/1.5
x โ 20
Therefore, the solution to the equation is x โ 20.