Solving Basic Problems Involving Brackets
Algebra: Solve for x Help
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The easiest way to show you how to tackle these type of problems is by working out an example. The basic idea is to get the x-terms on one side of the equation and the constants on the other.
Example: Solve:
-8(6x + 5) = 3(8x + 1) + 173
Step 1: Get rid of the brackets using the distributive law. We get:
-8(6x + 5) = 3(8x + 1) + 173
-48x - 40 = 24x + 3 + 173
-48x - 40 = 24x + 176
Step 2: Get the x-terms on one side of the equation and the constants on the other side. First we subtract 24x from both sides:
-48x - 40 = 24x + 176
-48x - 40 - 24x = 24x + 176 - 24x
-72x - 40 = 176
Then add 40 to both sides:
-72x - 40 = 176
-72x - 40 + 40 = 176 + 40
-72x = 216
Step 4: Divide both sides by -72.
-72x = 216
-72x/-72 = 216/-72
x = -3
Our answer is -3.
DON'T FORGET! If you have something like 2x + 3 -(x + 5), this means the same thing as 2x + 3 -1(x + 5). So, when you expand this expression, you get 2x + 3 - 1x - 5 = 1x - 2 = x - 2

Algebra: Solve for x Help
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