Answer:
x=5
Step-by-step explanation:
To solve the equation 2(2x - 5) = 3x + x - 2x, we will simplify and solve for x.
Step 1: Distribute the 2 to the terms inside the parentheses:
4x - 10 = 3x + x - 2x
Step 2: Combine like terms on both sides of the equation:
4x - 10 = 2x
Step 3: Subtract 2x from both sides to isolate the variable x:
4x - 2x - 10 = 0
Simplifying:
2x - 10 = 0
Step 4: Add 10 to both sides to eliminate the -10 term on the left side:
2x - 10 + 10 = 0 + 10
Simplifying:
2x = 10
Step 5: Divide both sides by 2 to solve for x:
(2x)/2 = 10/2
Simplifying:
x = 5
Answer:
Let's simplify the given equation step by step:
2(2x - 5) = 3x + x - 2x
First, let's simplify the expressions within the parentheses:
4x - 10 = 3x + x - 2x
Next, combine like terms on both sides of the equation:
4x - 10 = 2x
To isolate the variable x, we need to move all terms with x to one side of the equation. Let's subtract 2x from both sides:
4x - 2x - 10 = 2x - 2x
Simplifying the left side:
2x - 10 = 0
Next, let's add 10 to both sides of the equation to isolate the term with x:
2x - 10 + 10 = 0 + 10
Simplifying the left side:
2x = 10
Finally, to solve for x, we divide both sides by 2:
(2x)/2 = 10/2
Simplifying:
x = 5
Therefore, the solution to the equation 2(2x - 5) = 3x + x - 2x is x = 5.
