5x+8=11+5x+6 — step-by-step solution

Let's solve in

ℝ

5 x + 8 = 11 + 5 x + 6

ⓘ Start from

11

and move forward

6

on the number line:

11 + 6

17

5 x + 8 = 17 + 5 x

ⓘ We subtract

8

from both sides■Start from

17

and move back

8

on the number line:

17 - 8

9

5 x = 9 + 5 x

ⓘ We subtract

5 x

from both sides

5 x - 5 x = 9

ⓘ Like terms are grouped by adding their coefficients:

5 x - 5 x

0

0 = 9

The statement

-9 = 0

is false, whatever the value of

x

▶Solution:

x \in \emptyset