-4.8(6.3x-4.18)=-58.56 — step-by-step solution

Let's solve in

ℝ

-4.8 \cdot (6.3 x - 4.18) = -58.56

ⓘ Expand by multiplying each term inside the parentheses:

- 4.8 \cdot (6.3 x - 4.18)

- (30.24 x - 20.064)

- (30.24 x - 20.064) = -58.56

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

- (30.24 x - 20.064)

- 30.24 x + 20.064

- 30.24 x + 20.064 = -58.56

ⓘ We gather the terms in

x

on the right and the other terms on the left

20.064 + 58.56 = 30.24 x

ⓘ Start from

20.064

and move forward

58.56

on the number line:

20.064 + 58.56

78.624

78.624 = 30.24 x

ⓘ Both sides are divided by

30.24

x = \frac{78.624}{30.24}

▶Solution obtained:

x = 2.6