-(4x-5)-(5x-5)+2=-10(x-1)-(4x+11)+3

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Solution for -(4x-5)-(5x-5)+2=-10(x-1)-(4x+11)+3 equation:


Simplifying
-1(4x + -5) + -1(5x + -5) + 2 = -10(x + -1) + -1(4x + 11) + 3

Reorder the terms:
-1(-5 + 4x) + -1(5x + -5) + 2 = -10(x + -1) + -1(4x + 11) + 3
(-5 * -1 + 4x * -1) + -1(5x + -5) + 2 = -10(x + -1) + -1(4x + 11) + 3
(5 + -4x) + -1(5x + -5) + 2 = -10(x + -1) + -1(4x + 11) + 3

Reorder the terms:
5 + -4x + -1(-5 + 5x) + 2 = -10(x + -1) + -1(4x + 11) + 3
5 + -4x + (-5 * -1 + 5x * -1) + 2 = -10(x + -1) + -1(4x + 11) + 3
5 + -4x + (5 + -5x) + 2 = -10(x + -1) + -1(4x + 11) + 3

Reorder the terms:
5 + 5 + 2 + -4x + -5x = -10(x + -1) + -1(4x + 11) + 3

Combine like terms: 5 + 5 = 10
10 + 2 + -4x + -5x = -10(x + -1) + -1(4x + 11) + 3

Combine like terms: 10 + 2 = 12
12 + -4x + -5x = -10(x + -1) + -1(4x + 11) + 3

Combine like terms: -4x + -5x = -9x
12 + -9x = -10(x + -1) + -1(4x + 11) + 3

Reorder the terms:
12 + -9x = -10(-1 + x) + -1(4x + 11) + 3
12 + -9x = (-1 * -10 + x * -10) + -1(4x + 11) + 3
12 + -9x = (10 + -10x) + -1(4x + 11) + 3

Reorder the terms:
12 + -9x = 10 + -10x + -1(11 + 4x) + 3
12 + -9x = 10 + -10x + (11 * -1 + 4x * -1) + 3
12 + -9x = 10 + -10x + (-11 + -4x) + 3

Reorder the terms:
12 + -9x = 10 + -11 + 3 + -10x + -4x

Combine like terms: 10 + -11 = -1
12 + -9x = -1 + 3 + -10x + -4x

Combine like terms: -1 + 3 = 2
12 + -9x = 2 + -10x + -4x

Combine like terms: -10x + -4x = -14x
12 + -9x = 2 + -14x

Solving
12 + -9x = 2 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
12 + -9x + 14x = 2 + -14x + 14x

Combine like terms: -9x + 14x = 5x
12 + 5x = 2 + -14x + 14x

Combine like terms: -14x + 14x = 0
12 + 5x = 2 + 0
12 + 5x = 2

Add '-12' to each side of the equation.
12 + -12 + 5x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 2 + -12
5x = 2 + -12

Combine like terms: 2 + -12 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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