2(5x+8)=6x+20 — step-by-step solution

Let's solve in

ℝ

2 \cdot (5 x + 8) = 6 x + 20

ⓘ Expand by multiplying each term inside the parentheses:

2 \cdot (5 x + 8)

10 x + 16

10 x + 16 = 6 x + 20

ⓘ We subtract

16

from both sides■Start from

20

and move back

16

on the number line:

20 - 16

4

10 x = 6 x + 4

ⓘ We subtract

6 x

from both sides

10 x - 6 x = 4

ⓘ Like terms are grouped by adding their coefficients:

10 x - 6 x

4 x

4 x = 4

ⓘ Both sides are divided by

4

x = \frac{4}{4}

ⓘ We simplify the fraction by dividing the numerator and the denominator by

4

, their greatest common divisor:

\frac{4}{4}

1

▶Solution found:

x = 1