How to Solve for X
Write down the problem., Resolve the exponent., Do the multiplication., Do the addition and subtraction., Isolate the variable., Check your work.
Step-by-Step Guide
-
Step 1: Write down the problem.
Here it is: 22(x+3) + 9
- 5 = 32 -
Step 2: Resolve the exponent.
Remember the order of operations:
PEMDAS, which stands for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction.
You can't resolve the parentheses first because x is in the parentheses, so you should start with the exponent,
22. 22 = 4 4(x+3) + 9
- 5 = 32 , Just distribute the 4 into (x +3).
Here's how: 4x + 12 + 9
- 5 = 32 , Just add or subtract the remaining numbers.
Here's how: 4x+21-5 = 32 4x+16 = 32 4x + 16
- 16 = 32
- 16 4x = 16 , To do this, just divide both sides of the equation by 4 to find x. 4x/4 = x and 16/4 = 4, so x =
4. 4x/4 = 16/4 x = 4 , Just plug x = 4 back into the original equation to make sure that it checks out.
Here's how: 22(x+3)+ 9
- 5 = 32 22(4+3)+ 9
- 5 = 32 22(7) + 9
- 5 = 32 4(7) + 9
- 5 = 32 28 + 9
- 5 = 32 37
- 5 = 32 32 = 32 -
Step 3: Do the multiplication.
-
Step 4: Do the addition and subtraction.
-
Step 5: Isolate the variable.
-
Step 6: Check your work.
Detailed Guide
Here it is: 22(x+3) + 9
- 5 = 32
Remember the order of operations:
PEMDAS, which stands for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction.
You can't resolve the parentheses first because x is in the parentheses, so you should start with the exponent,
22. 22 = 4 4(x+3) + 9
- 5 = 32 , Just distribute the 4 into (x +3).
Here's how: 4x + 12 + 9
- 5 = 32 , Just add or subtract the remaining numbers.
Here's how: 4x+21-5 = 32 4x+16 = 32 4x + 16
- 16 = 32
- 16 4x = 16 , To do this, just divide both sides of the equation by 4 to find x. 4x/4 = x and 16/4 = 4, so x =
4. 4x/4 = 16/4 x = 4 , Just plug x = 4 back into the original equation to make sure that it checks out.
Here's how: 22(x+3)+ 9
- 5 = 32 22(4+3)+ 9
- 5 = 32 22(7) + 9
- 5 = 32 4(7) + 9
- 5 = 32 28 + 9
- 5 = 32 37
- 5 = 32 32 = 32
About the Author
Karen Jimenez
Creates helpful guides on creative arts to inspire and educate readers.
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