Clearly and thoroughly explain this SAT question by solving it step by step. The digital SAT skill needed is solving linear equations and inequalities---Question 1: Solve for x: $\frac{3(x-2)}{4} + 5 = \frac{x+1}{2}$ What is the value of x?

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Let's solve this SAT linear equation step by step. We have the equation three times x minus 2, all over 4, plus 5, equals x plus 1, all over 2. This is a linear equation involving fractions. First, we identify that we need to eliminate the fractions by finding the least common multiple of the denominators 4 and 2, which is 4.