2(x+7)-3(4x+3)=1 — step-by-step solution

Let's solve in

ℝ

2 \cdot (x + 7) - 3 \cdot (4 x + 3) = 1

ⓘ Expand by multiplying each term inside the parentheses:

2 \cdot (x + 7)

2 x + 14

- 3 \cdot (4 x + 3)

- (12 x + 9)

2 x + 14 - (12 x + 9) = 1

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

- (12 x + 9)

- 12 x - 9

2 x

+ 14

- 12 x

- 9 = 1

ⓘ Start from

14

and move back

9

on the number line:

14 - 9

5

■Like terms are grouped by adding their coefficients:

2 x - 12 x

-10 x

- 10 x + 5 = 1

ⓘ We gather the terms in

x

on the right and the other terms on the left

5 - 1 = 10 x

ⓘ Start from

5

and move back

1

on the number line:

5 - 1

4

4 = 10 x

ⓘ Both sides are divided by

10

x = \frac{4}{10}

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

2

, their greatest common divisor:

\frac{4}{10}

\frac{2 \cdot 2}{5 \cdot 2}

\frac{2}{5}

▶Solution obtained:

x = \frac{2}{5}

The numeric value of:

x = \frac{2}{5}

equals:

▷

x = 0.4