Question

What is 8x-6=2(6x+5)

Answer 1

x = -4

Explanation:

`8x-6=2(6x+5)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\8x-6=(2)(6x)+(2)(5)\\\\8x-6=12x+10\qquad\text{add 6 to both sides}\\\\8x-6+6=12x+10+6\\\\8x=12x+16\qquad\text{subtract}\ 12x\ \text{from both sides}\\\\8x-12x=12x-12+16\\\\-4x=16\qquad\text{divide both sides by (-4)}\\\\(-4x)/(-4)=(16)/(-4)\\\\x=-4`