Let's simplify the equation step by step:
2x + 3 - 6(x - 1) = 2(1 - x) - 7
First, distribute the -6 in the parenthesis on the left side of the equation:
2x + 3 - 6x + 6 = 2 - 2x - 7
Combine like terms on each side of the equation:
2x - 6x + 3 + 6 = 2 - 2x - 7-4x + 9 = -2x - 5
Now, let's get all variables on one side and constants on the other side:
-4x + 9 + 2x = -2x - 5-2x + 9 = -5
Subtract 9 from both sides:
-2x = -14
Finally, divide by -2 to solve for x:
x = 7
Therefore, the solution to the equation is x = 7.
Let's simplify the equation step by step:
2x + 3 - 6(x - 1) = 2(1 - x) - 7
First, distribute the -6 in the parenthesis on the left side of the equation:
2x + 3 - 6x + 6 = 2 - 2x - 7
Combine like terms on each side of the equation:
2x - 6x + 3 + 6 = 2 - 2x - 7
-4x + 9 = -2x - 5
Now, let's get all variables on one side and constants on the other side:
-4x + 9 + 2x = -2x - 5
-2x + 9 = -5
Subtract 9 from both sides:
-2x = -14
Finally, divide by -2 to solve for x:
x = 7
Therefore, the solution to the equation is x = 7.