How many solutions does the following equation have? 5x+8-7x=-4x+1

Simplifying

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

Reorder the terms:

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

Combine like terms: 5x + - 7x = - 2x

8 + - 2x = - 4x + 1

Reorder the terms:

8 + - 2x = 1 + - 4x

Solving

8 + - 2x = 1 + - 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.

8 + - 2x + 4x = 1 + - 4x + 4x

Combine like terms: - 2x + 4x = 2x

8 + 2x = 1 + - 4x + 4x

Combine like terms: - 4x + 4x = 0

8 + 2x = 1 + 0

8 + 2x = 1

Add '-8' to each side of the equation.

8 + - 8 + 2x = 1 + - 8

Combine like terms: 8 + - 8 = 0

0 + 2x = 1 + - 8

2x = 1 + - 8

Combine like terms: 1 + - 8 = - 7

2x = - 7

Divide each side by '2'.

x = - 3.5

Simplifying

x = - 3.5