10(x-10)-10=27x-297 — step-by-step solution

Let's solve in

ℝ

10 \cdot (x - 10) - 10 = 27 x - 297

ⓘ Expand by multiplying each term inside the parentheses:

10 \cdot (x - 10)

10 x - 100

10 x - 100 - 10 = 27 x - 297

ⓘ Start from

-100

and move back

10

more on the number line, away from zero:

- 100 - 10

-110

10 x - 110 = 27 x - 297

ⓘ We gather the terms in

x

on the right and the other terms on the left

- 110 + 297 = 27 x - 10 x

ⓘ Start from

-110

and move forward

297

on the number line, going past zero:

- 110 + 297

187

■Like terms are grouped by adding their coefficients:

27 x - 10 x

17 x

187 = 17 x

ⓘ Both sides are divided by

17

x = \frac{187}{17}

We simplify the fraction:

\frac{187}{17}

by the common factor:

17

to get the new expression:

11

▶Solution found:

x = 11