4x-26=5(2-x) — step-by-step solution

Let's solve in

ℝ

4 x - 26 = 5 \cdot (2 - x)

ⓘ Expand by multiplying each term inside the parentheses:

5 \cdot (2 - x)

10 + 5 \cdot (- x)

4 x - 26 = 10 + 5 \cdot (- x)

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

5 \cdot (- x)

- 5 x

4 x - 26 = 10 - 5 x

ⓘ We add

26

to both sides■Start from

10

and move forward

26

on the number line:

10 + 26

36

4 x = 36 - 5 x

ⓘ We add

5 x

to both sides

4 x + 5 x = 36

ⓘ Like terms are grouped by adding their coefficients:

4 x + 5 x

9 x

9 x = 36

ⓘ Both sides are divided by

9

x = \frac{36}{9}

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

9

, their greatest common divisor:

\frac{36}{9}

4

▶Solution obtained:

x = 4