To solve this equation, we first need to simplify the absolute values on both sides.
Given: |5x + 3| = |3 - x|
Case 1: 5x + 3 = 3 - xSolving for x:5x + x = 3 - 36x = 0x = 0
Case 2: 5x + 3 = - (3 - x)Solving for x:5x + 3 = -3 + x5x - x = -3 - 34x = -6x = -6 / 4x = -3/2
Therefore, the solutions to the absolute value equation |5x + 3| = |3 - x| are x = 0 and x = -3/2.
To solve this equation, we first need to simplify the absolute values on both sides.
Given: |5x + 3| = |3 - x|
Case 1: 5x + 3 = 3 - x
Solving for x:
5x + x = 3 - 3
6x = 0
x = 0
Case 2: 5x + 3 = - (3 - x)
Solving for x:
5x + 3 = -3 + x
5x - x = -3 - 3
4x = -6
x = -6 / 4
x = -3/2
Therefore, the solutions to the absolute value equation |5x + 3| = |3 - x| are x = 0 and x = -3/2.