Solve the following equation for xx. Express your answer in the simplest form.
2, left bracket, 2, x, minus, 4, right bracket, equals, 5, left bracket, x, minus, 4, right bracket
2(2x−4)=
5(x−4)
Answer
Attempt 1 out of 3
The equation has
multiple steps to solve for x. Let's break it down:
Step 1: Distribute the 2 on the left side of the equation:
2 * 2x - 2 * 4 = 5(x - 4)
This simplifies to:
4x - 8 = 5x - 20
Step 2: Move all the variables (terms with x) to one side of the equation and constant terms to the other side. Let's move the 5x term to the left side by subtracting 5x from both sides:
4x - 5x - 8 = 5x - 5x - 20
Simplifying this gives:
-x - 8 = -20
Step 3: Move the constant terms to one side by adding 8 to both sides of the equation:
-x - 8 + 8 = -20 + 8
This simplifies to:
-x = -12
Step 4: Solve for x by multiplying both sides of the equation by -1 to isolate x:
-1 * (-x) = -1 * (-12)
This gives:
x = 12
So the solution for x is 12.