A number is multiplied by 4 and 6 is subtracted from it . The result is the same as when the number is increased by 15. Find the number
English ----> Math
4x - 6 = x + 15
solve for x, very easy
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To find the number, let's set up an equation based on the given information.
Let the number be represented by "x".
According to the problem, the number is multiplied by 4, resulting in 4x. Then, 6 is subtracted from it, giving us the expression 4x - 6.
It is stated that this expression is equal to the result when the number is increased by 15, which can be represented by x + 15.
So, we have the equation:
4x - 6 = x + 15
Now, let's solve the equation step by step to find the value of x.
To isolate x, we need to move the x term to one side and the constant terms to the other side of the equation.
First, subtract x from both sides of the equation:
4x - x - 6 = x - x + 15
Simplifying:
3x - 6 = 15
Next, add 6 to both sides of the equation to get rid of the constant term on the left side:
3x - 6 + 6 = 15 + 6
Simplifying:
3x = 21
To solve for x, divide both sides of the equation by 3:
(3x)/3 = 21/3
Simplifying:
x = 7
Therefore, the number we are looking for is x = 7.