24(x-1)=-6(4-x)+18x — step-by-step solution | Explain MAths

24(x-1)=-6(4-x)+18x

Let's solve in

ℝ

:

24 \cdot (x - 1) = - 6 \cdot (4 - x) + 18 x

24 \cdot (x - 1) + 6 \cdot (4 - x) - 18 x = 0

ℹ

24 \cdot (x - 1)

=

24 x - 24

‖

6 \cdot (4 - x)

=

24 + 6 \cdot (- x)

(24 x - 24) + (24 + 6 \cdot (- x)) - 18 x = 0

ℹ

- 24 + 24

=

0

‖

24 x - 18 x

=

6 x

6 x + 0 - 6 x = 0

0 = 0

▶Solution obtained:

x \in ℝ