6(2x+3)=42
a cabinet has shelves that are 12 1/2in.apart.on one shelf,katherine stacked a CD player that is 4 5/8 in. high on top of an amplifier that is 6 3/4 in.high. how much space was shace was left above the CD player?
To solve the equation 6(2x+3)=42, we need to isolate the variable x. Let's break it down step by step:
1. Start by distributing the 6 to the terms inside the parentheses: 6 * 2x = 12x and 6 * 3 = 18. The equation becomes 12x + 18 = 42.
2. Next, we want to isolate the term with x on one side of the equation. To do this, subtract 18 from both sides: 12x + 18 - 18 = 42 - 18. This simplifies to 12x = 24.
3. Now, we divide both sides of the equation by 12 to solve for x. We have 12x / 12 = 24 / 12, which gives us x = 2.
So, the solution to the equation 6(2x+3)=42 is x = 2.
6(2x+3)=42
12x + 18 = 42
12x = 42 - 18
12x = 24
x = 24/12
x = 2