steps to solving : 28-6x+4=30-3x
28-6x+4=30-3x
Combine like terms
32 - 6x = 30 - 3x
Get the knowns on one side and the unknowns on the other.
32 - 30 = 6x - 3x
2 = 6x - 3x
2 = 3x
2/3 = x
To solve the equation 28-6x+4=30-3x, follow these steps:
Step 1: Combine like terms on each side of the equation.
On the left side, combine 28 and 4 to get 32. On the right side, combine 30 and -3x to get 30-3x.
So, the equation becomes 32 - 6x = 30 - 3x.
Step 2: Move all terms with x to one side of the equation.
To do this, we need to get rid of the -3x on the right side. Add 3x to both sides of the equation.
After adding 3x, the equation becomes 32 - 6x + 3x = 30 - 3x + 3x.
On the left side, simplifying -6x + 3x gives us -3x, and on the right side, 30 - 3x + 3x simplifies to 30.
So, the equation is now -3x + 32 = 30.
Step 3: Move the constant term to the opposite side of the equation.
To do this, subtract 32 from both sides of the equation.
After subtracting 32, the equation becomes -3x + 32 - 32 = 30 - 32.
On the left side, 32 - 32 simplifies to 0, and on the right side, 30 - 32 is -2.
So, the equation is now -3x = -2.
Step 4: Solve for x.
To solve for x, divide both sides of the equation by -3.
After dividing by -3, -3x / -3 simplifies to x, and -2 / -3 simplifies to 2/3.
So, the solution to the equation 28-6x+4=30-3x is x = 2/3.