Four times the sum of three times a number and 5 is the same as the sum of 11 times the number and 5
4(3x+5) = 11x + 5
Let's break down the problem step by step:
Step 1: Assign a variable to the unknown number
Let's call the unknown number "x."
Step 2: Translate the problem into an equation
The problem states that "Four times the sum of three times a number and 5 is the same as the sum of 11 times the number and 5." We can translate this sentence into an equation:
4 * (3x + 5) = 11x + 5
Step 3: Simplify the equation
To simplify the equation, we can distribute the 4 on the left side:
12x + 20 = 11x + 5
Step 4: Solve for x
To solve for x, we need to isolate the variable on one side of the equation. Let's do this by moving all terms containing x to one side and all constant terms to the other side:
12x - 11x = 5 - 20
This simplifies to:
x = -15
So the value of the number is -15.
4(3x+5)=11x+5
12x+20=11x+5
12x-11x=5-20
x=-15