how do i solve the following equation?
4 - x = 2 - (3 - 2x)
remove ( ) by distributing - sign
4-x=2-3+2x
then add -4 to both sides to get
-x = -4 + 2 -3 + 2x
then
-x = -5 +2x
then add 2x to both sides
x=-5
To solve the equation 4 - x = 2 - (3 - 2x), follow these steps:
1. Remove the parentheses by distributing the negative sign to everything inside them:
4 - x = 2 - 3 + 2x
2. Simplify both sides of the equation:
4 - x = -1 + 2x
3. Get rid of the variables on one side of the equation. To do this, start by isolating the term with "x" on one side. In this case, we can move the 2x term to the left side:
-x - 2x = -1 - 4
4. Combine like terms:
-3x = -5
5. Solve for x by dividing both sides of the equation by -3:
x = -5 / -3
6. Simplify the fraction:
x = 5/3 or x ≈ 1.67
Therefore, the solution to the equation is x = 5/3 or approximately x ≈ 1.67.