2x+9+3x+x=4x+3 — step-by-step solution

Let's solve in

ℝ

2 x

+ 9

+ 3 x

+ x = 4 x + 3

ⓘ Like terms are grouped by adding their coefficients:

2 x + 3 x + x

6 x

6 x + 9 = 4 x + 3

ⓘ We subtract

9

from both sides■Start from

3

and move back

9

on the number line, going below zero:

3 - 9

-6

6 x = 4 x - 6

ⓘ We subtract

4 x

from both sides

6 x - 4 x = -6

ⓘ Like terms are grouped by adding their coefficients:

6 x - 4 x

2 x

2 x = -6

ⓘ Both sides are divided by

2

x = - \frac{6}{2}

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

2

, their greatest common divisor:

- \frac{6}{2}

-3

▶Solution found:

x = -3