To solve for x, we need to simplify the equation step by step and isolate the variable on one side of the equation. Let's solve it together.
Step 1: Distribute the 2 on the left side of the equation.
2 * 3 + 2 * x = 5x + 54
Simplifying this gives us:
6 + 2x = 5x + 54
Step 2: Rearrange the equation by moving the terms with x to one side and the constants to the other side.
Subtract 5x from both sides:
6 + 2x - 5x = 5x - 5x + 54
Simplifying this gives us:
-3x + 6 = 54
Step 3: Move the constant term to the other side of the equation by subtracting 6 from both sides.
-3x + 6 - 6 = 54 - 6
Simplifying this gives us:
-3x = 48
Step 4: Divide both sides of the equation by -3 to isolate x.
x = 48 / -3
Simplifying this gives us:
x = -16
So the solution to the equation 2(3+x) = 5x + 54 is x = -16.
