6x+39=114-9x — step-by-step solution

Let's solve in

ℝ

6 x + 39 = 114 - 9 x

ⓘ We subtract

39

from both sides■Start from

114

and move back

39

on the number line:

114 - 39

75

6 x = 75 - 9 x

ⓘ We add

9 x

to both sides

6 x + 9 x = 75

ⓘ Like terms are grouped by adding their coefficients:

6 x + 9 x

15 x

15 x = 75

ⓘ Both sides are divided by

15

x = \frac{75}{15}

The fraction:

\frac{75}{15}

simplifies by the common factor:

15

into the new expression:

5

▶Solution found:

x = 5