-12(x+4)-2-(2x+3)=-(x+5)+3x

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Solution for -12(x+4)-2-(2x+3)=-(x+5)+3x equation: 


Simplifying
-12(x + 4) + -2 + -1(2x + 3) = -1(x + 5) + 3x

Reorder the terms:
-12(4 + x) + -2 + -1(2x + 3) = -1(x + 5) + 3x
(4 * -12 + x * -12) + -2 + -1(2x + 3) = -1(x + 5) + 3x
(-48 + -12x) + -2 + -1(2x + 3) = -1(x + 5) + 3x

Reorder the terms:
-48 + -12x + -2 + -1(3 + 2x) = -1(x + 5) + 3x
-48 + -12x + -2 + (3 * -1 + 2x * -1) = -1(x + 5) + 3x
-48 + -12x + -2 + (-3 + -2x) = -1(x + 5) + 3x

Reorder the terms:
-48 + -2 + -3 + -12x + -2x = -1(x + 5) + 3x

Combine like terms: -48 + -2 = -50
-50 + -3 + -12x + -2x = -1(x + 5) + 3x

Combine like terms: -50 + -3 = -53
-53 + -12x + -2x = -1(x + 5) + 3x

Combine like terms: -12x + -2x = -14x
-53 + -14x = -1(x + 5) + 3x

Reorder the terms:
-53 + -14x = -1(5 + x) + 3x
-53 + -14x = (5 * -1 + x * -1) + 3x
-53 + -14x = (-5 + -1x) + 3x

Combine like terms: -1x + 3x = 2x
-53 + -14x = -5 + 2x

Solving
-53 + -14x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-53 + -14x + -2x = -5 + 2x + -2x

Combine like terms: -14x + -2x = -16x
-53 + -16x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-53 + -16x = -5 + 0
-53 + -16x = -5

Add '53' to each side of the equation.
-53 + 53 + -16x = -5 + 53

Combine like terms: -53 + 53 = 0
0 + -16x = -5 + 53
-16x = -5 + 53

Combine like terms: -5 + 53 = 48
-16x = 48

Divide each side by '-16'.
x = -3

Simplifying
x = -3

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