3(x-2)+9=0 — step-by-step solution

Let's solve in

ℝ

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

ⓘ Expand by multiplying each term inside the parentheses:

3 \cdot (x - 2)

3 x - 6

3 x - 6 + 9 = 0

ⓘ Start from

-6

and move forward

9

on the number line, going past zero:

- 6 + 9

3

3 x + 3 = 0

ⓘ We subtract

3

from both sides

3 x = -3

ⓘ Both sides are divided by

3

x = - \frac{3}{3}

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

3

, their greatest common divisor:

- \frac{3}{3}

-1

▶Solution found:

x = -1