Solve for X: -9(2-x) = (x+4)×3 Linear Equation Challenge

Question

Solve for x:

9(2x)=(x+4)3 -9(2-x)=(x+4)\cdot3

Video Solution

Solution Steps

00:00 Find X
00:04 Open parentheses properly, multiply by each factor
00:26 Arrange the equation so that one side has only the unknown X
00:41 Collect like terms
00:46 Isolate X
00:54 And this is the solution to the problem

Step-by-Step Solution

We open the parentheses in both sections by the distributive property and use the formula:

a(x+b)=ax+ab a(x+b)=ax+ab

18+9x=3x+12 -18+9x=3x+12

We move 3X to the left section, and 18 to the right section and maintain the corresponding signs:

9x3x=12+18 9x-3x=12+18

We add the terms:

6x=30 6x=30

We divide both sections by 6:

6x6=306 \frac{6x}{6}=\frac{30}{6}

x=5 x=5

Answer

5