Solve for X in the Equation 8(-2-x)=16: Step-by-Step Guide

Question

Solve for x:

8(2x)=16 8(-2-x)=16

Video Solution

Solution Steps

00:00 Find X
00:04 Divide by 8, to eliminate the coefficient of parentheses
00:15 Simplify as much as possible
00:20 Arrange the equation so that only the unknown X is on one side
00:27 Collect like terms
00:30 Convert from negative to positive
00:38 Negative divided by negative is always positive, and vice versa
00:41 And this is the solution to the question

Step-by-Step Solution

First, we divide both sections by 8:

8(2x)8=168 \frac{8(-2-x)}{8}=\frac{16}{8}

Keep in mind that the 8 in the fraction of the left section is reduced, so the equation we get is:

2x=2 -2-x=2

We move the minus 2 to the right section and maintain the plus and minus signs accordingly:

x=2+2 -x=2+2

x=4 -x=4

We divide both sides by minus 1 and maintain the plus and minus signs accordingly when we divide:

x1=41 \frac{-x}{-1}=\frac{4}{-1}

x=4 x=-4

Answer

-4