How many solutions does the following equation have?

5x+8-7x=-4x+1

1 answer

To solve the equation, we combine like terms by adding or subtracting the terms on each side of the equation:
-2x + 8 = -4x + 1.

By subtracting 8 from both sides and combining like terms, we get:
-2x = -4x - 7.

Subtracting -4x from both sides gives us:
2x = -7.

Finally, dividing both sides by 2, we find:
x = -7/2.

Therefore, the equation has only one solution, x = -7/2.