15=5+4(2d-3) — step-by-step solution

Let's solve in

ℝ

5 + 4 \cdot (2 d - 3) = 15

ⓘ Expand by multiplying each term inside the parentheses:

4 \cdot (2 d - 3)

8 d - 12

5 + 8 d - 12 = 15

ⓘ Start from

5

and move back

12

on the number line, going below zero:

5 - 12

-7

- 7 + 8 d = 15

ⓘ We add

7

to both sides

8 d = 15 + 7

ⓘ Start from

15

and move forward

7

on the number line:

15 + 7

22

8 d = 22

ⓘ Both sides are divided by

8

d = \frac{22}{8}

ⓘ We simplify the fraction by dividing the numerator and the denominator by

2

, their greatest common divisor:

\frac{22}{8}

\frac{11 \cdot 2}{4 \cdot 2}

\frac{11}{4}

▶Solution found:

d = \frac{11}{4}

The numeric value of:

d = \frac{11}{4}

equals:

▷

d = 2.75