2|5x|+5=13 — step-by-step solution

1) Let's solve in

ℝ

2 \cdot | 5 x | + 5 = 13

ⓘ We subtract

5

from both sides

2 \cdot | 5 x | = 13 - 5

ⓘ Start from

13

and move back

5

on the number line:

13 - 5

8

2 \cdot | 5 x | = 8

Since

2 \neq 0

, divide both sides by

2

| 5 x | = 4

Since

4 \geq 0

| 5 x | = 4

is equivalent to

5 x = 4

5 x = -4

2) Let's solve in

ℝ

5 x = 4

ⓘ Both sides are divided by

5

Solution found:

x = \frac{4}{5}

3) Let's solve in

ℝ

5 x = -4

ⓘ Both sides are divided by

5

Solution found:

x = - \frac{4}{5}

▶Solution:

x = {- \frac{4}{5}, \frac{4}{5}}

4) The numeric value of:

x = {- \frac{4}{5}, \frac{4}{5}}

is:

▷

x = {-0.8, 0.8}