12x-2(4-x)+4-(1-x)=3(x+4)-4(x-5)+11

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Solution for 12x-2(4-x)+4-(1-x)=3(x+4)-4(x-5)+11 equation: 


Simplifying
12x + -2(4 + -1x) + 4 + -1(1 + -1x) = 3(x + 4) + -4(x + -5) + 11
12x + (4 * -2 + -1x * -2) + 4 + -1(1 + -1x) = 3(x + 4) + -4(x + -5) + 11
12x + (-8 + 2x) + 4 + -1(1 + -1x) = 3(x + 4) + -4(x + -5) + 11
12x + -8 + 2x + 4 + (1 * -1 + -1x * -1) = 3(x + 4) + -4(x + -5) + 11
12x + -8 + 2x + 4 + (-1 + 1x) = 3(x + 4) + -4(x + -5) + 11

Reorder the terms:
-8 + 4 + -1 + 12x + 2x + 1x = 3(x + 4) + -4(x + -5) + 11

Combine like terms: -8 + 4 = -4
-4 + -1 + 12x + 2x + 1x = 3(x + 4) + -4(x + -5) + 11

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

Combine like terms: 12x + 2x = 14x
-5 + 14x + 1x = 3(x + 4) + -4(x + -5) + 11

Combine like terms: 14x + 1x = 15x
-5 + 15x = 3(x + 4) + -4(x + -5) + 11

Reorder the terms:
-5 + 15x = 3(4 + x) + -4(x + -5) + 11
-5 + 15x = (4 * 3 + x * 3) + -4(x + -5) + 11
-5 + 15x = (12 + 3x) + -4(x + -5) + 11

Reorder the terms:
-5 + 15x = 12 + 3x + -4(-5 + x) + 11
-5 + 15x = 12 + 3x + (-5 * -4 + x * -4) + 11
-5 + 15x = 12 + 3x + (20 + -4x) + 11

Reorder the terms:
-5 + 15x = 12 + 20 + 11 + 3x + -4x

Combine like terms: 12 + 20 = 32
-5 + 15x = 32 + 11 + 3x + -4x

Combine like terms: 32 + 11 = 43
-5 + 15x = 43 + 3x + -4x

Combine like terms: 3x + -4x = -1x
-5 + 15x = 43 + -1x

Solving
-5 + 15x = 43 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-5 + 15x + x = 43 + -1x + x

Combine like terms: 15x + x = 16x
-5 + 16x = 43 + -1x + x

Combine like terms: -1x + x = 0
-5 + 16x = 43 + 0
-5 + 16x = 43

Add '5' to each side of the equation.
-5 + 5 + 16x = 43 + 5

Combine like terms: -5 + 5 = 0
0 + 16x = 43 + 5
16x = 43 + 5

Combine like terms: 43 + 5 = 48
16x = 48

Divide each side by '16'.
x = 3

Simplifying
x = 3

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