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

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


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

Reorder the terms:
3(-4 + 2x) + -5(x + -1) + -4(3x + -5) + 5 = -4 + 6(x + 2) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1
(-4 * 3 + 2x * 3) + -5(x + -1) + -4(3x + -5) + 5 = -4 + 6(x + 2) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1
(-12 + 6x) + -5(x + -1) + -4(3x + -5) + 5 = -4 + 6(x + 2) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1

Reorder the terms:
-12 + 6x + -5(-1 + x) + -4(3x + -5) + 5 = -4 + 6(x + 2) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1
-12 + 6x + (-1 * -5 + x * -5) + -4(3x + -5) + 5 = -4 + 6(x + 2) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1
-12 + 6x + (5 + -5x) + -4(3x + -5) + 5 = -4 + 6(x + 2) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1

Reorder the terms:
-12 + 6x + 5 + -5x + -4(-5 + 3x) + 5 = -4 + 6(x + 2) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1
-12 + 6x + 5 + -5x + (-5 * -4 + 3x * -4) + 5 = -4 + 6(x + 2) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1
-12 + 6x + 5 + -5x + (20 + -12x) + 5 = -4 + 6(x + 2) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1

Reorder the terms:
-12 + 5 + 20 + 5 + 6x + -5x + -12x = -4 + 6(x + 2) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1

Combine like terms: -12 + 5 = -7
-7 + 20 + 5 + 6x + -5x + -12x = -4 + 6(x + 2) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1

Combine like terms: -7 + 20 = 13
13 + 5 + 6x + -5x + -12x = -4 + 6(x + 2) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1

Combine like terms: 13 + 5 = 18
18 + 6x + -5x + -12x = -4 + 6(x + 2) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1

Combine like terms: 6x + -5x = 1x
18 + 1x + -12x = -4 + 6(x + 2) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1

Combine like terms: 1x + -12x = -11x
18 + -11x = -4 + 6(x + 2) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1

Reorder the terms:
18 + -11x = -4 + 6(2 + x) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1
18 + -11x = -4 + (2 * 6 + x * 6) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1
18 + -11x = -4 + (12 + 6x) + -3(x + 2) + -3(4x + 1) + 3(x + -4) + -1

Reorder the terms:
18 + -11x = -4 + 12 + 6x + -3(2 + x) + -3(4x + 1) + 3(x + -4) + -1
18 + -11x = -4 + 12 + 6x + (2 * -3 + x * -3) + -3(4x + 1) + 3(x + -4) + -1
18 + -11x = -4 + 12 + 6x + (-6 + -3x) + -3(4x + 1) + 3(x + -4) + -1

Reorder the terms:
18 + -11x = -4 + 12 + 6x + -6 + -3x + -3(1 + 4x) + 3(x + -4) + -1
18 + -11x = -4 + 12 + 6x + -6 + -3x + (1 * -3 + 4x * -3) + 3(x + -4) + -1
18 + -11x = -4 + 12 + 6x + -6 + -3x + (-3 + -12x) + 3(x + -4) + -1

Reorder the terms:
18 + -11x = -4 + 12 + 6x + -6 + -3x + -3 + -12x + 3(-4 + x) + -1
18 + -11x = -4 + 12 + 6x + -6 + -3x + -3 + -12x + (-4 * 3 + x * 3) + -1
18 + -11x = -4 + 12 + 6x + -6 + -3x + -3 + -12x + (-12 + 3x) + -1

Reorder the terms:
18 + -11x = -4 + 12 + -6 + -3 + -12 + -1 + 6x + -3x + -12x + 3x

Combine like terms: -4 + 12 = 8
18 + -11x = 8 + -6 + -3 + -12 + -1 + 6x + -3x + -12x + 3x

Combine like terms: 8 + -6 = 2
18 + -11x = 2 + -3 + -12 + -1 + 6x + -3x + -12x + 3x

Combine like terms: 2 + -3 = -1
18 + -11x = -1 + -12 + -1 + 6x + -3x + -12x + 3x

Combine like terms: -1 + -12 = -13
18 + -11x = -13 + -1 + 6x + -3x + -12x + 3x

Combine like terms: -13 + -1 = -14
18 + -11x = -14 + 6x + -3x + -12x + 3x

Combine like terms: 6x + -3x = 3x
18 + -11x = -14 + 3x + -12x + 3x

Combine like terms: 3x + -12x = -9x
18 + -11x = -14 + -9x + 3x

Combine like terms: -9x + 3x = -6x
18 + -11x = -14 + -6x

Solving
18 + -11x = -14 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
18 + -11x + 6x = -14 + -6x + 6x

Combine like terms: -11x + 6x = -5x
18 + -5x = -14 + -6x + 6x

Combine like terms: -6x + 6x = 0
18 + -5x = -14 + 0
18 + -5x = -14

Add '-18' to each side of the equation.
18 + -18 + -5x = -14 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = -14 + -18
-5x = -14 + -18

Combine like terms: -14 + -18 = -32
-5x = -32

Divide each side by '-5'.
x = 6.4

Simplifying
x = 6.4

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