55+x=4(7+x)
55+x=4(7+x)
55 + x = 28 + 4x
55 - 28 = 3x
30 = 3x
? = x
To solve the equation 55 + x = 4(7 + x), we'll follow these steps:
1. Distribute the number 4 to the terms inside the parentheses on the right side of the equation:
55 + x = 4 * 7 + 4 * x
2. Simplify the expression by multiplying:
55 + x = 28 + 4x
3. To isolate the variable x, we will move all terms containing x to one side of the equation and all constant terms to the other side. We can do this by subtracting x from both sides of the equation:
55 - x + x = 28 + 4x - x
Simplifying further:
55 = 28 + 3x
4. Next, we need to move the constant terms to the other side of the equation. We can do this by subtracting 28 from both sides:
55 - 28 = 28 - 28 + 3x
Simplifying further:
27 = 3x
5. To solve for x, we must isolate x by dividing both sides of the equation by 3:
27/3 = (3x)/3
Simplifying further:
9 = x
Therefore, the solution to the equation 55 + x = 4(7 + x) is x = 9.