Four times the sum of 6 and a number is 6 increased by the same number. Find the number
4(6+x) = 6+x
To solve this problem, let's first assign a variable to represent the unknown number. Let's call it "x".
We are given the equation:
4(6 + x) = 6 + x
To find the value of x, we need to simplify the equation step by step.
Distribute the 4 on the left side:
24 + 4x = 6 + x
Next, simplify the equation by combining like terms. Subtract x from both sides:
3x + 24 = 6
Now, isolate the variable by subtracting 24 from both sides:
3x = 6 - 24
3x = -18
Finally, divide both sides by 3 to solve for x:
x = -18 / 3
x = -6
The answer is -6.