4 x - (3 -x) = 7 ( x - 3) +10
how do i solve this problem step by step?
4 x - (3 -x) = 7 ( x - 3) +10
4x - 3 + x = 7x - 21 + 10
5x - 3 = 7x - 11
5x - 5x - 3 = 7x - 5x - 11
11 - 3 = 2x - 11 + 11
8 = 2x
8/2 = x
4 = x
i understood your ansewr, but im confused why isnt 4x- (3 -x )like 4*3 =12
You're adding 4x, not multiplying it.
To solve the equation step by step, follow these steps:
Step 1: Distribute the terms on the right side
7(x - 3) + 10 becomes 7x - 21 + 10, which simplifies to 7x - 11.
Step 2: Remove the parentheses
The equation becomes 4x - (3 - x) = 7x - 11.
Step 3: Distribute the negative sign to the terms inside the parentheses
-(3 - x) becomes -3 + x.
Step 4: Simplify the equation
Now, the equation is 4x - (-3 + x) = 7x - 11. We can simplify it further by removing double negatives, which becomes 4x + 3 - x = 7x - 11.
Step 5: Combine like terms
Combine the x terms on the left side and the constant terms on the right side: 4x - x + 3 = 7x - 11.
Step 6: Simplify the equation further
Combine the x terms: 3x + 3 = 7x - 11.
Step 7: Move the variable terms to one side and the constant terms to the other side
Subtract 3x from both sides: 3 = 7x - 3x - 11.
Step 8: Simplify the equation
Combine like terms: 3 = 4x - 11.
Step 9: Move the constant terms to the other side
Add 11 to both sides: 3 + 11 = 4x - 11 + 11.
Step 10: Simplify the equation further
Combine like terms: 14 = 4x.
Step 11: Solve for x
Divide both sides by 4: 14/4 = 4x/4.
Step 12: Simplify the equation
Perform the division: 7/2 = x.
Therefore, the solution is x = 7/2 or x = 3.5.