6(2x-1)-4=7x — step-by-step solution

Let's solve in

ℝ

6 \cdot (2 x - 1) - 4 = 7 x

ⓘ Expand by multiplying each term inside the parentheses:

6 \cdot (2 x - 1)

12 x - 6

12 x - 6 - 4 = 7 x

ⓘ Start from

-6

and move back

4

more on the number line, away from zero:

- 6 - 4

-10

12 x - 10 = 7 x

ⓘ We add

10

to both sides

12 x = 7 x + 10

ⓘ We subtract

7 x

from both sides

12 x - 7 x = 10

ⓘ Like terms are grouped by adding their coefficients:

12 x - 7 x

5 x

5 x = 10

ⓘ Both sides are divided by

5

x = \frac{10}{5}

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

5

, their greatest common divisor:

\frac{10}{5}

2

▶Solution obtained:

x = 2