16(x+2)-8=16x+24 — step-by-step solution

Let's solve in

ℝ

16 \cdot (x + 2) - 8 = 16 x + 24

16 \cdot (x + 2)

- 8

- 16 x

- 24 = 0

ⓘ Start from

-8

and move back

24

more on the number line, away from zero:

- 8 - 24

-32

16 \cdot (x + 2) - 32 - 16 x = 0

ⓘ Expand by multiplying each term inside the parentheses:

16 \cdot (x + 2)

16 x + 32

16 x

+ 32

- 32

- 16 x = 0

ⓘ Start from

32

and move back

32

on the number line, down to zero:

32 - 32

0

■Like terms are grouped by adding their coefficients:

16 x - 16 x

0

0 + 0 = 0

ⓘ Adding 0 changes nothing:

0 + 0

0

0 = 0

▶Solution found:

x \in ℝ