16x+90+24x+10=180 — step-by-step solution

Let's solve in

ℝ

16 x

+ 90

+ 24 x

+ 10 = 180

ⓘ Start from

90

and move forward

10

on the number line:

90 + 10

100

■Like terms are grouped by adding their coefficients:

16 x + 24 x

40 x

40 x + 100 = 180

ⓘ We subtract

100

from both sides

40 x = 180 - 100

ⓘ Start from

180

and move back

100

on the number line:

180 - 100

80

40 x = 80

ⓘ Both sides are divided by

40

x = \frac{80}{40}

We divide the numerator and denominator of

\frac{80}{40}

by the common factor:

40

, which gives the new expression:

2

▶Solution found:

x = 2