6x-2(x+9)=6x-18 — step-by-step solution

Let's solve in

ℝ

6 x - 2 \cdot (x + 9) = 6 x - 18

6 x

- 2 \cdot (x + 9)

- 6 x

+ 18 = 0

ⓘ Like terms are grouped by adding their coefficients:

6 x - 6 x

0

0 - 2 \cdot (x + 9) + 18 = 0

ⓘ Adding 0 changes nothing:

0 - 2 \cdot (x + 9)

-2 \cdot (x + 9)

- 2 \cdot (x + 9) + 18 = 0

ⓘ Expand by multiplying each term inside the parentheses:

- 2 \cdot (x + 9)

- (2 x + 18)

- (2 x + 18) + 18 = 0

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

- (2 x + 18)

- 2 x - 18

- 2 x - 18 + 18 = 0

ⓘ Start from

-18

and move forward

18

on the number line, up to zero:

- 18 + 18

0

- 2 x + 0 = 0

ⓘ Adding 0 changes nothing:

- 2 x + 0

- 2 x

- 2 x = 0

We simplify the expression by

-2

⇥Let's solve in

ℝ

x = 0

▶Solution found:

x = 0