-4(2-x)=4x-8 — step-by-step solution

Let's solve in

ℝ

-4 \cdot (2 - x) = 4 x - 8

- 4 \cdot (2 - x) - 4 x + 8 = 0

ⓘ Expand by multiplying each term inside the parentheses:

- 4 \cdot (2 - x)

- (8 + 4 \cdot (- x))

- (8 + 4 \cdot (- x)) - 4 x + 8 = 0

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

- (8 + 4 \cdot (- x))

- 8 - 4 \cdot (- x)

- 8

- 4 \cdot (- x)

- 4 x

+ 8 = 0

ⓘ Two minus signs cancel out:

-4 \cdot (- x)

4 x

■Start from

-8

and move forward

8

on the number line, up to zero:

- 8 + 8

0

0 + 4 x - 4 x = 0

ⓘ Adding 0 changes nothing:

0 + 4 x

4 x

■Like terms are grouped by adding their coefficients:

4 x - 4 x

0

0 = 0

▶Solution obtained:

x \in ℝ