Question

Solve for ( x ) in the equation ( 2x - 5 = 3x + 1 ).

a) ( -6 )
b) ( -4 )
c) ( 2 )
d) ( 6 )

Answer 1

To solve the equation (2x - 5 = 3x + 1), subtract 3x from both sides to get -x - 5 = 1. Then add 5 to both sides to find -x = 6. Finally, multiply by -1 to find x = -6, which is option (a).

Step-by-step explanation:

To solve the equation (2x - 5 = 3x + 1), you need to find the value of x that makes both sides of the equation equal. Start by subtracting 3x from both sides to get x on one side:

2x - 5 - 3x = 3x + 1 - 3x

This simplifies to:

-x - 5 = 1

Next, add 5 to both sides to isolate x:

-x - 5 + 5 = 1 + 5

This gives you:

-x = 6

Finally, to get x, you need to multiply both sides by -1:

x = -6

So the solution to the equation is x = -6, which corresponds to option (a).