1(x-24)-1(x-2)=x+5

Solution for 1(x-24)-1(x-2)=x+5 equation:

Simplifying
1(x + -24) + -1(x + -2) = x + 5

Reorder the terms:
1(-24 + x) + -1(x + -2) = x + 5
(-24 * 1 + x * 1) + -1(x + -2) = x + 5
(-24 + 1x) + -1(x + -2) = x + 5

Reorder the terms:
-24 + 1x + -1(-2 + x) = x + 5
-24 + 1x + (-2 * -1 + x * -1) = x + 5
-24 + 1x + (2 + -1x) = x + 5

Reorder the terms:
-24 + 2 + 1x + -1x = x + 5

Combine like terms: -24 + 2 = -22
-22 + 1x + -1x = x + 5

Combine like terms: 1x + -1x = 0
-22 + 0 = x + 5
-22 = x + 5

Reorder the terms:
-22 = 5 + x

Solving
-22 = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-22 + -1x = 5 + x + -1x

Combine like terms: x + -1x = 0
-22 + -1x = 5 + 0
-22 + -1x = 5

Add '22' to each side of the equation.
-22 + 22 + -1x = 5 + 22

Combine like terms: -22 + 22 = 0
0 + -1x = 5 + 22
-1x = 5 + 22

Combine like terms: 5 + 22 = 27
-1x = 27

Divide each side by '-1'.
x = -27

Simplifying
x = -27