-(x-3)-4(x-1)=14 — step-by-step solution

Let's solve in

ℝ

- (x - 3) - 4 \cdot (x - 1) = 14

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

- (x - 3)

- x + 3

- x + 3 - 4 \cdot (x - 1) = 14

ⓘ Expand by multiplying each term inside the parentheses:

- 4 \cdot (x - 1)

- (4 x - 4)

- x + 3 - (4 x - 4) = 14

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

- (4 x - 4)

- 4 x + 4

- x

+ 3

- 4 x

+ 4 = 14

ⓘ Start from

3

and move forward

4

on the number line:

3 + 4

7

■Like terms are grouped by adding their coefficients:

- x - 4 x

-5 x

- 5 x + 7 = 14

ⓘ We gather the terms in

x

on the right and the other terms on the left

7 - 14 = 5 x

ⓘ Start from

7

and move back

14

on the number line, going below zero:

7 - 14

-7

-7 = 5 x

ⓘ Both sides are divided by

5

▶Solution obtained:

x = - \frac{7}{5}

The numeric value of:

x = - \frac{7}{5}

equals:

▷

x = -1.4