Question

What is 0.1x = 0.2(x+2)

Answer 1

0.1x = 0.2(x + 2)

First, divide both sides by 0.1 / Your problem should look like: x = 2(x + 2)
Second, expand. / Your problem should look like: x = 2x + 4
Third, subtract 2x from both sides. / Your problem should look like: x - 2x = 4
Fourth, simplify x - 2x to -x. / Your problem should look like: -x = 4
Fifth, multiply both sides by -1. / Your problem should look like: x = -4

Answer: x = -4

Answer 2

$0.1x=0.2(x+2)\ \ \ |mltiply\ both\ sides\ by\ 10\\\\10\cdot0.1x=10\cdot0.2(x+2)\\\\1x=2(x+2)\ \ \ |use\ distributive\ property:a(b+c)=ab+ac\\\\x=(2)(x)+(2)(2)\\\\x=2x+4\ \ \ \ |subtract\ 2x\ from\ both\ sides\\\\x-2x=2x-2x+4\\\\-x=4\ \ \ \ |change\ signs\\\huge\boxed{x=-4}$

$check\\subtitute\ the\ value\ of\ x\ to\ the\ equation:\\L_s=0.1\cdot(-4)=-0.4\\R_s=0.2(-4+2)=0.2(-2)=-0.4\\\\L_s=R_s\ \ \ |correct\ :)$