Verified Answer :

Julik

3(4x+2) - 6x = 5x - 5(2 + x)

3·4x+3·2-6x=5x-5·2-5·x
12x+6-6x=5x-10-5x
12x-6x-5x+5x= -10-6
6x=-16
\(x=- \frac{16}{6} \\ x=- \frac{8}{3} \\ x=-2 \frac{2}{3}\)

3(4x + 2) - 6x = 5x - 5(2 + x)

First, expand the equation. / Your problem should look like: 12x + 6 - 6x = 5x - 10 - 5x
Second, simplify 12x + 6 - 6x to 6x + 6. / Your problem should look like: 6x + 6 = 5x - 10 - 5x
Third, simplify 5x - 10 - 5x to -10. / Your problem should look like: 6x + 6 = -10
Fourth, subtract 6 from both sides. / Your problem should look like: 6x = -10 - 6
Fifth, simplify -10 - 6 to -16. / Your problem should look like: 6x = -16
Sixth, divide both sides by 6. / Your problem should look like: x = \(-\frac{16}{6}\)
Seventh, simplify \(\frac{16}{6}\) to \(\frac{8}{3}\) / Your problem should look like: x = \(- \frac{8}{3}\)

Answer: x = \(- \frac{8}{3}\)