3(x+3)=4x3(x+3)=4x
Using distributive property to evaluate the expression in the left side of the equation,
3x+9=4x3x+9=4x
transposing +9+9 to the other side of the equation, by grouping all the same expression or term, it is a standard that the unknown variable must be in the left side of the equation,
Subtracting 99 from both sides,
3x+9-9=4x-93x+9−9=4x−9
Refining the equation,
3x=4x-93x=4x−9
now we must move the 4x4x to the left, balance it by subtracting both sides by 4x4x,
3x-4x=4x-9-4x3x−4x=4x−9−4x
Refining the equation again, we get,
-x=-9−x=−9
but, xx, the unknown variable must be positive, therefore we need to take off it's negativity, since -x = -1(x)−x=−1(x)
cancel(-x)/cancel(-1)=(-9)/-1
therefore, the answer is,
color(blue)(x=9)