2(x-1)+3(x-6)=-4(x-9)+11(x+6)

Solution for 2(x-1)+3(x-6)=-4(x-9)+11(x+6) equation:

Simplifying
2(x + -1) + 3(x + -6) = -4(x + -9) + 11(x + 6)

Reorder the terms:
2(-1 + x) + 3(x + -6) = -4(x + -9) + 11(x + 6)
(-1 * 2 + x * 2) + 3(x + -6) = -4(x + -9) + 11(x + 6)
(-2 + 2x) + 3(x + -6) = -4(x + -9) + 11(x + 6)

Reorder the terms:
-2 + 2x + 3(-6 + x) = -4(x + -9) + 11(x + 6)
-2 + 2x + (-6 * 3 + x * 3) = -4(x + -9) + 11(x + 6)
-2 + 2x + (-18 + 3x) = -4(x + -9) + 11(x + 6)

Reorder the terms:
-2 + -18 + 2x + 3x = -4(x + -9) + 11(x + 6)

Combine like terms: -2 + -18 = -20
-20 + 2x + 3x = -4(x + -9) + 11(x + 6)

Combine like terms: 2x + 3x = 5x
-20 + 5x = -4(x + -9) + 11(x + 6)

Reorder the terms:
-20 + 5x = -4(-9 + x) + 11(x + 6)
-20 + 5x = (-9 * -4 + x * -4) + 11(x + 6)
-20 + 5x = (36 + -4x) + 11(x + 6)

Reorder the terms:
-20 + 5x = 36 + -4x + 11(6 + x)
-20 + 5x = 36 + -4x + (6 * 11 + x * 11)
-20 + 5x = 36 + -4x + (66 + 11x)

Reorder the terms:
-20 + 5x = 36 + 66 + -4x + 11x

Combine like terms: 36 + 66 = 102
-20 + 5x = 102 + -4x + 11x

Combine like terms: -4x + 11x = 7x
-20 + 5x = 102 + 7x

Solving
-20 + 5x = 102 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-20 + 5x + -7x = 102 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-20 + -2x = 102 + 7x + -7x

Combine like terms: 7x + -7x = 0
-20 + -2x = 102 + 0
-20 + -2x = 102

Add '20' to each side of the equation.
-20 + 20 + -2x = 102 + 20

Combine like terms: -20 + 20 = 0
0 + -2x = 102 + 20
-2x = 102 + 20

Combine like terms: 102 + 20 = 122
-2x = 122

Divide each side by '-2'.
x = -61

Simplifying
x = -61