4*x=3*(5*x-9)-6*(x-1) — step-by-step solution

Let's solve in

ℝ

4 x = 3 \cdot (5 x - 9) - 6 \cdot (x - 1)

ⓘ Expand by multiplying each term inside the parentheses:

3 \cdot (5 x - 9)

15 x - 27

- 6 \cdot (x - 1)

- (6 x - 6)

4 x = 15 x - 27 - (6 x - 6)

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

- (6 x - 6)

- 6 x + 6

4 x = 15 x

- 27

- 6 x

+ 6

ⓘ Start from

-27

and move forward

6

on the number line, getting closer to zero:

- 27 + 6

-21

■Like terms are grouped by adding their coefficients:

15 x - 6 x

9 x

4 x = 9 x - 21

ⓘ We gather the terms in

x

on the right and the other terms on the left

21 = 9 x - 4 x

ⓘ Like terms are grouped by adding their coefficients:

9 x - 4 x

5 x

21 = 5 x

ⓘ Both sides are divided by

5

▶Solution obtained:

x = \frac{21}{5}

The numeric value of:

x = \frac{21}{5}

is:

▷

x = 4.2