If 6 more than 8 times a number equals 30, what's the number?
Just translate the English into Math
8 times a number ---- 8x
6 more than 8 times a number ---- 8x+6
equals --- =
so
"6 more than 8 times a number equals 30" ---> 8x+6 = 30
8x = 30-6
8x = 24
x = 3
The number is 3
Thanks
To find the number in this equation, you need to solve for the variable. Let's break down the given information step by step.
The first part of the equation states "6 more than 8 times a number." Let's represent the unknown number as 'x.' "8 times a number" is written as 8x. And "6 more than 8 times a number" is expressed as 8x + 6.
The equation is then: 8x + 6 = 30.
To solve for 'x,' we need to isolate the variable on one side of the equation. To do this, we will apply inverse operations.
First, we'll subtract 6 from both sides of the equation to move it to the right side:
8x + 6 - 6 = 30 - 6.
Simplifying, we have:
8x = 24.
Now, we want to isolate 'x' by dividing both sides of the equation by 8:
8x/8 = 24/8.
Simplifying further, we get:
x = 3.
Therefore, the number represented by 'x' is 3.