8times the result of subtracting 3 from a number is equal to the number increased by 25. what is the number?

This is a tricky question, because it's in word form.  To start us off, we have to convert it into numbers.  "Times" means to multiply, and "the result of" means to put this in parentheses.  "A number" is a variable--let's use x for that--and "subtracting 3 from a number" is a number (AKA x) minus 3.  "Increased by" means plus.

So what do we have?  8(x-3)=x+25.  Now, let's solve.  First, use the distributive property.  8(x-3)=8[x+(-3)]=(8*x)+[8*(-3)]=8x+(-24)=8x-24.  So, 8x-24=x+25.

Next, we need to solve for x, "a number," by isolating it on one side of the equation, using inverse operations on both sides of the equation.  8x-24=x+25.  8x-24+24=x+25+24.  8x=x+49.  8x-x=x+49-x.  7x=49.  7x/7=49/7.  x=7.  So, the number is 7.

7

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