2(x-1)+5(-2x-9)=-9(x+5)-5

Solution for 2(x-1)+5(-2x-9)=-9(x+5)-5 equation:

Simplifying
2(x + -1) + 5(-2x + -9) = -9(x + 5) + -5

Reorder the terms:
2(-1 + x) + 5(-2x + -9) = -9(x + 5) + -5
(-1 * 2 + x * 2) + 5(-2x + -9) = -9(x + 5) + -5
(-2 + 2x) + 5(-2x + -9) = -9(x + 5) + -5

Reorder the terms:
-2 + 2x + 5(-9 + -2x) = -9(x + 5) + -5
-2 + 2x + (-9 * 5 + -2x * 5) = -9(x + 5) + -5
-2 + 2x + (-45 + -10x) = -9(x + 5) + -5

Reorder the terms:
-2 + -45 + 2x + -10x = -9(x + 5) + -5

Combine like terms: -2 + -45 = -47
-47 + 2x + -10x = -9(x + 5) + -5

Combine like terms: 2x + -10x = -8x
-47 + -8x = -9(x + 5) + -5

Reorder the terms:
-47 + -8x = -9(5 + x) + -5
-47 + -8x = (5 * -9 + x * -9) + -5
-47 + -8x = (-45 + -9x) + -5

Reorder the terms:
-47 + -8x = -45 + -5 + -9x

Combine like terms: -45 + -5 = -50
-47 + -8x = -50 + -9x

Solving
-47 + -8x = -50 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-47 + -8x + 9x = -50 + -9x + 9x

Combine like terms: -8x + 9x = 1x
-47 + 1x = -50 + -9x + 9x

Combine like terms: -9x + 9x = 0
-47 + 1x = -50 + 0
-47 + 1x = -50

Add '47' to each side of the equation.
-47 + 47 + 1x = -50 + 47

Combine like terms: -47 + 47 = 0
0 + 1x = -50 + 47
1x = -50 + 47

Combine like terms: -50 + 47 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3