-3(3x-8)=3x — step-by-step solution

Let's solve in

ℝ

-3 \cdot (3 x - 8) = 3 x

ⓘ Expand by multiplying each term inside the parentheses:

- 3 \cdot (3 x - 8)

- (9 x - 24)

- (9 x - 24) = 3 x

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

- (9 x - 24)

- 9 x + 24

- 9 x + 24 = 3 x

ⓘ We gather the terms in

x

on the right and the other terms on the left

24 = 3 x + 9 x

ⓘ Like terms are grouped by adding their coefficients:

3 x + 9 x

12 x

24 = 12 x

ⓘ Both sides are divided by

12

x = \frac{24}{12}

The fraction:

\frac{24}{12}

simplifies by the common factor:

12

into the new expression:

2

▶Solution found:

x = 2