Question

1/2(4-3 1/2x)=1 1/4 x -1/2

Answer 1

1/2*(4 - 3 1/2x) = 1 1/4x - 1/2

2 - 1 3/4x = 1 1/4x - 1/2

1 1/4x + 1 3/4x = 2 + 1/2

3x = 2 1/2

x = 2 1/2 * 1/3

x = 5/2 * 1/3

x = 5/6

Answer 2

$4 - 3 \frac{1}{2} \times x = 2 \times 1 \frac{1}{4} \times x - 1 \\ \\ 4 - \frac{7}{2} x = 2 \times \frac{5}{4} x - 1 \\ \\ 4 - \frac{7}{2} x = \frac{5}{2} x - 1 \\ \\ 8 - 7x = 5x - 2 \\ \\ - 7x - 5x = - 2 - 8 \\ \\ - 12x - 10 \\ \\ x = \frac{5}{6}$