Answer:
x = 1/2
Explanation:
Step 1: Distribute the 4 to (2x - 1):
-3 + (4 * 2x) + (4 * -1) + 3 = 2x - 1
-3 + 8x - 4 + 3 = 2x - 1
Step 2: Combine like terms on the left-hand side:
(-3 - 4 + 3) + 8x = 2x - 1
-4 + 8x = 2x - 1
Step 4: Add 4 to both sides:
(-4 + 8x = 2x - 1) + 4
8x = 2x + 3
Step 5: Subtract 2x from both sides:
(8x = 2x + 3) - 2x
6x = 3
Step 6: Divide both sides by 6 to solve for x:
(6x = 3) / 6
x = 3/6
x = 1/2
Thus, x = 1/2
Optional Step 7: Check the validity of the answer:
To check whether our answer for x, we substitute 1/2 for x in the equation and see if we get the same answer on both sides:
-3 + 4((2 * 1/2) - 1) + 3 = 2(1/2) - 1
-3 + 4(1 - 1) + 3 = 1 - 1
-3 + 4(0) + 3 = 0
-3 + 3 = 0
0 = 0
Thus, our answer is correct.