4(x-5)-5(x-4)=x+1-(x-1)

Solution for 4(x-5)-5(x-4)=x+1-(x-1) equation:

Simplifying
4(x + -5) + -5(x + -4) = x + 1 + -1(x + -1)

Reorder the terms:
4(-5 + x) + -5(x + -4) = x + 1 + -1(x + -1)
(-5 * 4 + x * 4) + -5(x + -4) = x + 1 + -1(x + -1)
(-20 + 4x) + -5(x + -4) = x + 1 + -1(x + -1)

Reorder the terms:
-20 + 4x + -5(-4 + x) = x + 1 + -1(x + -1)
-20 + 4x + (-4 * -5 + x * -5) = x + 1 + -1(x + -1)
-20 + 4x + (20 + -5x) = x + 1 + -1(x + -1)

Reorder the terms:
-20 + 20 + 4x + -5x = x + 1 + -1(x + -1)

Combine like terms: -20 + 20 = 0
0 + 4x + -5x = x + 1 + -1(x + -1)
4x + -5x = x + 1 + -1(x + -1)

Combine like terms: 4x + -5x = -1x
-1x = x + 1 + -1(x + -1)

Reorder the terms:
-1x = x + 1 + -1(-1 + x)
-1x = x + 1 + (-1 * -1 + x * -1)
-1x = x + 1 + (1 + -1x)

Reorder the terms:
-1x = 1 + 1 + x + -1x

Combine like terms: 1 + 1 = 2
-1x = 2 + x + -1x

Combine like terms: x + -1x = 0
-1x = 2 + 0
-1x = 2

Solving
-1x = 2

Solving for variable 'x'.

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2