(2x-1/2)/4 =3 — step-by-step solution

1) Let's solve in

ℝ

\frac{2 x - \frac{1}{2}}{4} = 3

ⓘ To add fractions, put them over the same denominator, then add the numerators:

2 x - \frac{1}{2}

\frac{2 x \cdot 2 - 1}{2}

\frac{\frac{2 x \cdot 2 - 1}{2}}{4} = 3

ⓘ Multiplications are done before additions and subtractions:

2 \cdot 2

4

\frac{\frac{4 x - 1}{2}}{4} = 3

ⓘ Dividing a fraction by

4

is multiplying its denominator by

4

\frac{\frac{4 x - 1}{2}}{4}

\frac{4 x - 1}{2 \cdot 4}

\frac{4 x - 1}{2 \cdot 4} = 3

ⅰ

2 \cdot 4

8

\frac{4 x - 1}{8} = 3

4 x - 1 = 3 \cdot 8

ⅰ

3 \cdot 8

24

4 x - 1 = 24

ⓘ We add

1

to both sides

4 x = 24 + 1

ⓘ Start from

24

and move forward

1

on the number line:

24 + 1

25

4 x = 25

ⓘ Both sides are divided by

4

▶Solution found:

x = \frac{25}{4}

2) The numeric value of:

x = \frac{25}{4}

is:

▷

x = 6.25