I will give more examples such as the question,
12X +9= 4X -8
Now I allow the time for you to work it out, it should take less then a two minutes work out.
Now I will reveal the answer
12X – 4X= -8-9
8X=-17
X=17/8
Now for Mixed fraction the answer is 2 1/8
Because 8 times 2=16
16+1=17 so therefore in mixed fraction the answer is 2 1/8
The equation may also be balanced by a device called a variable. A variable is a unknown number represented by any letter in the alphabet (often X). The value of each variable must remain the same in each problem/equation.
An simpler equation which I will reveal later is X+16=30
You would have to balance the equation by making the Xs in one side and the numbers (known as constant) in one side, so it is X=30-16
Which would be X=14, and that is the answer.
More examples
nitial Equation / Problem x + 23 = 45
Subtract 23 from each side x + 23 - 23 = 45 - 23
Result / Answer x = 22
The diagram below shows a more complex equation. This equation has both a constant and a variable on each side. Again, to solve this you must keep both sides of the equation equal; perform the same operation on each side to get the variable "x" alone. The steps to solving the equation are shown below.
Initial Equation / Problem: x + 23 = 2x + 45
Subtract x from each side x - x + 23 = 2x - x + 45
Result 23 = x + 45
Subtract 45 from each side 23 - 45 = x + 45 - 45
Result -22 = x
Answer x = -22
Take a look at the equation below. As you can see, after the variable is subtracted from the left and the constants are subtracted from the right, you are still left with 2x on one side.
Initial Equation / Problem x + 23 = 3x + 45
Subtract x from each side x - x + 23 = 3x - x + 45
Result 23 = 2x + 45
Subtract 45 from each side 23 - 45 = 2x + 45 - 45
Result -22 = 2x
Switch the left and right sides of the equation 2x = -22
This means that the unknown number multiplied by two, equals -22. To find the value of x, use the process "dividing by the coefficient".
Recall beginning to solve the equation "x + 23 = 3x + 45". Applying addition and subtraction gave
2x = -22
But our end goal is to determine what x is, not what 2x is! Imagine that three investors own an equal share in the company Example.Com. The total worth of Example.com is $300,000. To determine what the share of each investor is, simply divide the total investment by 3:
$300,000 / 3 = $100,000
Thus, each investor has a $100,000 stake in Example.com. We apply the same idea to finding the value of x. However, instead of dividing by the number of investors, we divide by the coefficient of the variable. Since we determined that the coefficient of x is 2, we divide each side of the equation by 2:
After dividing by 2 1x = -11
Finally rewritten as x = -11
+ = Addition
/ = Divide
* = Multiplication