5(x-6)-6(x-5)=x+4-(x-1)

Solution for 5(x-6)-6(x-5)=x+4-(x-1) equation:

Simplifying
5(x + -6) + -6(x + -5) = x + 4 + -1(x + -1)

Reorder the terms:
5(-6 + x) + -6(x + -5) = x + 4 + -1(x + -1)
(-6 * 5 + x * 5) + -6(x + -5) = x + 4 + -1(x + -1)
(-30 + 5x) + -6(x + -5) = x + 4 + -1(x + -1)

Reorder the terms:
-30 + 5x + -6(-5 + x) = x + 4 + -1(x + -1)
-30 + 5x + (-5 * -6 + x * -6) = x + 4 + -1(x + -1)
-30 + 5x + (30 + -6x) = x + 4 + -1(x + -1)

Reorder the terms:
-30 + 30 + 5x + -6x = x + 4 + -1(x + -1)

Combine like terms: -30 + 30 = 0
0 + 5x + -6x = x + 4 + -1(x + -1)
5x + -6x = x + 4 + -1(x + -1)

Combine like terms: 5x + -6x = -1x
-1x = x + 4 + -1(x + -1)

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

Reorder the terms:
-1x = 4 + 1 + x + -1x

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

Combine like terms: x + -1x = 0
-1x = 5 + 0
-1x = 5

Solving
-1x = 5

Solving for variable 'x'.

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5