10(x-1)-7x=x — step-by-step solution

Let's solve in

ℝ

10 \cdot (x - 1) - 7 x = x

ⓘ Expand by multiplying each term inside the parentheses:

10 \cdot (x - 1)

10 x - 10

10 x - 10 - 7 x = x

ⓘ Like terms are grouped by adding their coefficients:

10 x - 7 x

3 x

3 x - 10 = x

ⓘ We add

10

to both sides

3 x = x + 10

ⓘ We subtract

x

from both sides

3 x - x = 10

ⓘ Like terms are grouped by adding their coefficients:

3 x - x

2 x

2 x = 10

ⓘ Both sides are divided by

2

x = \frac{10}{2}

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

2

, their greatest common divisor:

\frac{10}{2}

5

▶Solution obtained:

x = 5