17+2x+7+3x-4=75 — step-by-step solution

Let's solve in

ℝ

17

+ 2 x

+ 7

+ 3 x

- 4 = 75

ⓘ Start from

17

and move forward

7

on the number line:

17 + 7

24

■Like terms are grouped by adding their coefficients:

2 x + 3 x

5 x

24 + 5 x - 4 = 75

ⓘ Start from

24

and move back

4

on the number line:

24 - 4

20

20 + 5 x = 75

ⓘ We subtract

20

from both sides

5 x = 75 - 20

ⓘ Start from

75

and move back

20

on the number line:

75 - 20

55

5 x = 55

ⓘ Both sides are divided by

5

x = \frac{55}{5}

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

5

, their greatest common divisor:

\frac{55}{5}

11

▶Solution obtained:

x = 11