Question

What is the solution to the equation 4x plus 2(x-3) equals 3x plus x minus 12

Answer 1

`\huge\boxed{x=-3}`

Explanation:

`4x+2(x-3)=3x+x-12\qquad|\text{use the distributive property}\\\\4x+(2)(x)+(2)(-3)=3x+x-12\\\\4x+2x-6=3x+x-12\qquad|\text{combine like terms}\\\\(4x+2x)-6=(3x+x)-12\\\\6x-6=4x-12\qquad|\text{add 6 to both sides}\\\\6x-6+6=4x-12+6\\\\6x=4x-6\qquad|\text{subtract}\ 4x\ \text{from both sides}\\\\6x-4x=4x-4x-6\\\\2x=-6\qquad|\text{divide both sides by 2}\\\\(2x)/(2)=(-6)/(2)\\\\x=-3`