3(1+x)-5=3x-2 — step-by-step solution

Let's solve in

ℝ

3 \cdot (1 + x) - 5 = 3 x - 2

3 \cdot (1 + x)

- 5

- 3 x

+ 2 = 0

ⓘ Start from

-5

and move forward

2

on the number line, getting closer to zero:

- 5 + 2

-3

3 \cdot (1 + x) - 3 - 3 x = 0

ⓘ Expand by multiplying each term inside the parentheses:

3 \cdot (1 + x)

3 + 3 x

3

+ 3 x

- 3

- 3 x = 0

ⓘ Start from

3

and move back

3

on the number line, down to zero:

3 - 3

0

■Like terms are grouped by adding their coefficients:

3 x - 3 x

0

0 + 0 = 0

ⓘ Adding 0 changes nothing:

0 + 0

0

0 = 0

▶Solution found:

x \in ℝ