7(x-2)=4x+8 — step-by-step solution

Let's solve in

ℝ

7 \cdot (x - 2) = 4 x + 8

ⓘ Expand by multiplying each term inside the parentheses:

7 \cdot (x - 2)

7 x - 14

7 x - 14 = 4 x + 8

ⓘ We add

14

to both sides■Start from

8

and move forward

14

on the number line:

8 + 14

22

7 x = 4 x + 22

ⓘ We subtract

4 x

from both sides

7 x - 4 x = 22

ⓘ Like terms are grouped by adding their coefficients:

7 x - 4 x

3 x

3 x = 22

ⓘ Both sides are divided by

3

▶Solution obtained:

x = \frac{22}{3}

The numeric value of:

x = \frac{22}{3}

is:

▷

x = \approx 7.3333