-(5x-4)-(4x-6)+2=-4(x-1)-(10x+5)+3

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Solution for -(5x-4)-(4x-6)+2=-4(x-1)-(10x+5)+3 equation:


Simplifying
-1(5x + -4) + -1(4x + -6) + 2 = -4(x + -1) + -1(10x + 5) + 3

Reorder the terms:
-1(-4 + 5x) + -1(4x + -6) + 2 = -4(x + -1) + -1(10x + 5) + 3
(-4 * -1 + 5x * -1) + -1(4x + -6) + 2 = -4(x + -1) + -1(10x + 5) + 3
(4 + -5x) + -1(4x + -6) + 2 = -4(x + -1) + -1(10x + 5) + 3

Reorder the terms:
4 + -5x + -1(-6 + 4x) + 2 = -4(x + -1) + -1(10x + 5) + 3
4 + -5x + (-6 * -1 + 4x * -1) + 2 = -4(x + -1) + -1(10x + 5) + 3
4 + -5x + (6 + -4x) + 2 = -4(x + -1) + -1(10x + 5) + 3

Reorder the terms:
4 + 6 + 2 + -5x + -4x = -4(x + -1) + -1(10x + 5) + 3

Combine like terms: 4 + 6 = 10
10 + 2 + -5x + -4x = -4(x + -1) + -1(10x + 5) + 3

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

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

Reorder the terms:
12 + -9x = -4(-1 + x) + -1(10x + 5) + 3
12 + -9x = (-1 * -4 + x * -4) + -1(10x + 5) + 3
12 + -9x = (4 + -4x) + -1(10x + 5) + 3

Reorder the terms:
12 + -9x = 4 + -4x + -1(5 + 10x) + 3
12 + -9x = 4 + -4x + (5 * -1 + 10x * -1) + 3
12 + -9x = 4 + -4x + (-5 + -10x) + 3

Reorder the terms:
12 + -9x = 4 + -5 + 3 + -4x + -10x

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

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

Combine like terms: -4x + -10x = -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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