30-2x=-6*(4-3x) — step-by-step solution

Let's solve in

ℝ

30 - 2 x = -6 \cdot (4 - 3 x)

ⓘ Expand by multiplying each term inside the parentheses:

- 6 \cdot (4 - 3 x)

- (24 - 18 x)

30 - 2 x = - (24 - 18 x)

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

- (24 - 18 x)

- 24 + 18 x

30 - 2 x = - 24 + 18 x

ⓘ We gather the terms in

x

on the right and the other terms on the left

30 + 24 = 18 x + 2 x

ⓘ Start from

30

and move forward

24

on the number line:

30 + 24

54

■Like terms are grouped by adding their coefficients:

18 x + 2 x

20 x

54 = 20 x

ⓘ Both sides are divided by

20

x = \frac{54}{20}

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

2

, their greatest common divisor:

\frac{54}{20}

\frac{27 \cdot 2}{10 \cdot 2}

\frac{27}{10}

▶Solution found:

x = \frac{27}{10}

The numeric value of:

x = \frac{27}{10}

is:

▷

x = 2.7