-2(x-1)-x+3=-1 — step-by-step solution

Let's solve in

ℝ

- 2 \cdot (x - 1) - x + 3 = -1

ⓘ Expand by multiplying each term inside the parentheses:

- 2 \cdot (x - 1)

- (2 x - 2)

- (2 x - 2) - x + 3 = -1

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

- (2 x - 2)

- 2 x + 2

- 2 x

+ 2

- x

+ 3 = -1

ⓘ Start from

2

and move forward

3

on the number line:

2 + 3

5

■Like terms are grouped by adding their coefficients:

- 2 x - x

-3 x

- 3 x + 5 = -1

ⓘ We gather the terms in

x

on the right and the other terms on the left

5 + 1 = 3 x

ⓘ Start from

5

and move forward

1

on the number line:

5 + 1

6

6 = 3 x

ⓘ Both sides are divided by

3

x = \frac{6}{3}

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

3

, their greatest common divisor:

\frac{6}{3}

2

▶Solution obtained:

x = 2