Given the equation, 7x + 5 = 2(4x + 3):
Distribute 2 into the terms inside the parenthesis:
7x + 5 = 2(4x + 3)
7x + 5 = 8x + 6
Subtract 5 from both sides:
7x + 5 - 5 = 8x + 6 - 5
7x = 8x + 1
Then, subtract 8x from both sides:
7x - 8x = 8x + 1 - 8x
- x = 1
Finally, divide both sides by -1 to solve for x:
-x / -1 = 1 / -1
x = -1
Therefore, the solution to the given equation is -1.
