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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
Write down the problem. Resolve the exponent. Do the multiplication. Do the addition and subtraction. Isolate the variable. Check your work.