2(4x - 3) - 8 = 4 + 2x
Find X.
SHOW ALL WORK
(This is 10th grade math, please don't make it advanced!)
First, distribute the 2:
8x - 6 - 8 = 4 + 2x
Combine like terms on both sides:
8x - 14 = 4 + 2x
Subtract 2x from both sides:
6x - 14 = 4
Add 14 to both sides:
6x = 18
Divide both sides by 6:
x = 3
Therefore, x = 3.
To solve the equation 2(4x - 3) - 8 = 4 + 2x, we will follow these steps:
Step 1: Distribute the 2 to the terms inside the parentheses:
2 * 4x = 8x
2 * (-3) = -6
After distributing, the equation becomes:
8x - 6 - 8 = 4 + 2x
Step 2: Combine like terms:
8x - 14 = 4 + 2x
Step 3: Move all the terms with x to one side of the equation:
8x - 2x = 4 + 14
Simplifying, we have:
6x = 18
Step 4: Divide both sides by 6 to solve for x:
x = 18 / 6
Simplifying, we have:
x = 3
Therefore, the solution to the equation 2(4x - 3) - 8 = 4 + 2x is x = 3.