Question

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

Answer 1

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
$x=- \frac{16}{6} \\ x=- \frac{8}{3} \\ x=-2 \frac{2}{3}$

Answer 2

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 = $- \frac{8}{3}$