To solve the equation 3x - 1/2 = 3.5 × 2, let's first simplify the right side:
3.5 × 2 = 7
Now the equation becomes:
3x - 1/2 = 7
To isolate x, let's add 1/2 to both sides of the equation:
3x - 1/2 + 1/2 = 7 + 1/2
This simplifies to:
3x = 7 + 1/2
To add 7 and 1/2, we need to find a common denominator, which is 2:
7 + 1/2 = 14/2 + 1/2 = 15/2
Now the equation becomes:
3x = 15/2
To solve for x, divide both sides of the equation by 3:
(3x)/3 = (15/2)/3
This simplifies to:
x = 15/6
To simplify the fraction 15/6, we can divide the numerator and denominator by their greatest common divisor, which is 3:
x = (15/3)/(6/3) = 5/2
Therefore, the solution to the equation 3x - 1/2 = 3.5 × 2 is x = 5/2.
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