The value of x in the equation (x - 2)/3 + 1/6 = 5/6 is: x = 4
How to Solve an Equation?
To solve a given equation, find the value of the variable in the equation by isolating the variable to one side using the necessary properties of equality.
Given the equation, (x - 2)/3 + 1/6 = 5/6:
(x - 2)/3 + 1/6 = 5/6
Subtract both sides by 1/6:
(x - 2)/3 + 1/6 - 1/6 = 5/6 - 1/6 (subtraction property of equality)
(x - 2)/3 = 4/6
Multiply both sides by 3:
(x - 2)/3 × 3 = 4/6 × 3 (multiplication property of equality)
x - 2 = 2
Add both sides by 2:
x - 2 + 2 = 2 + 2 (addition property of equality)
x = 4
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