2(u+3)=3(1-u)+23 — step-by-step solution

Let's solve in

ℝ

2 \cdot (u + 3) = 3 \cdot (1 - u) + 23

ⓘ Expand by multiplying each term inside the parentheses:

2 \cdot (u + 3)

2 u + 6

3 \cdot (1 - u)

3 + 3 \cdot (- u)

2 u + 6 = 3 + 3 \cdot (- u) + 23

ⓘ The minus sign is placed in front of the product:

3 \cdot (- u)

- 3 u

■Start from

3

and move forward

23

on the number line:

3 + 23

26

2 u + 6 = 26 - 3 u

ⓘ We subtract

6

from both sides■Start from

26

and move back

6

on the number line:

26 - 6

20

2 u = 20 - 3 u

ⓘ We add

3 u

to both sides

2 u + 3 u = 20

ⓘ Like terms are grouped by adding their coefficients:

2 u + 3 u

5 u

5 u = 20

ⓘ Both sides are divided by

5

u = \frac{20}{5}

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

5

, their greatest common divisor:

\frac{20}{5}

4

▶Solution obtained:

u = 4