simplify 4(2−3x)=x−2(2x+1)
To simplify the equation 4(2 - 3x) = x - 2(2x + 1), let's simplify each side step by step:
Starting with the left side, distribute the 4:
8 - 12x = x - 2(2x + 1)
Next, distribute the -2:
8 - 12x = x - 4x - 2
Combine like terms on the right side:
8 - 12x = -3x - 2
Move all the terms to one side:
12x - 3x = -2 - 8
Combine like terms on the left side:
9x = -10
Divide by 9:
x = -10/9
Therefore, the simplified solution is x = -10/9.
To simplify the equation 4(2−3x)=x−2(2x+1), follow these steps:
Step 1: Distribute the multiplication
On the left side of the equation, multiply 4 with both terms inside the parentheses:
8 - 12x = x - 4x - 2
Step 2: Combine like terms
Combine the terms that have x:
-12x + 4x = x - 4x
-8x = -3x
Step 3: Move all the terms involving x to one side
To do this, add 8x to both sides of the equation:
-8x + 8x = -3x + 8x
0 = 5x
Step 4: Solve for x
To solve for x, divide both sides of the equation by 5:
0/5 = 5x/5
0 = x
So, the solution to the equation 4(2−3x)=x−2(2x+1) is x = 0.