10x-2(3+5x)=-6 — step-by-step solution

Let's solve in

ℝ

10 x - 2 \cdot (3 + 5 x) = -6

ⓘ We add

6

to both sides

10 x - 2 \cdot (3 + 5 x) + 6 = 0

ⓘ Expand by multiplying each term inside the parentheses:

- 2 \cdot (3 + 5 x)

- (6 + 10 x)

10 x - (6 + 10 x) + 6 = 0

ⓘ A minus sign before a parenthesis changes the sign of each of its terms:

- (6 + 10 x)

- 6 - 10 x

10 x

- 6

- 10 x

+ 6 = 0

ⓘ Start from

-6

and move forward

6

on the number line, up to zero:

- 6 + 6

0

■Like terms are grouped by adding their coefficients:

10 x - 10 x

0

0 + 0 = 0

ⓘ Adding 0 changes nothing:

0 + 0

0

0 = 0

▶Solution obtained:

x \in ℝ