4(2x-8)-5x=5(1-3x)-6(2-x)-(4+3x)

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Solution for 4(2x-8)-5x=5(1-3x)-6(2-x)-(4+3x) equation: 


Simplifying
4(2x + -8) + -5x = 5(1 + -3x) + -6(2 + -1x) + -1(4 + 3x)

Reorder the terms:
4(-8 + 2x) + -5x = 5(1 + -3x) + -6(2 + -1x) + -1(4 + 3x)
(-8 * 4 + 2x * 4) + -5x = 5(1 + -3x) + -6(2 + -1x) + -1(4 + 3x)
(-32 + 8x) + -5x = 5(1 + -3x) + -6(2 + -1x) + -1(4 + 3x)

Combine like terms: 8x + -5x = 3x
-32 + 3x = 5(1 + -3x) + -6(2 + -1x) + -1(4 + 3x)
-32 + 3x = (1 * 5 + -3x * 5) + -6(2 + -1x) + -1(4 + 3x)
-32 + 3x = (5 + -15x) + -6(2 + -1x) + -1(4 + 3x)
-32 + 3x = 5 + -15x + (2 * -6 + -1x * -6) + -1(4 + 3x)
-32 + 3x = 5 + -15x + (-12 + 6x) + -1(4 + 3x)
-32 + 3x = 5 + -15x + -12 + 6x + (4 * -1 + 3x * -1)
-32 + 3x = 5 + -15x + -12 + 6x + (-4 + -3x)

Reorder the terms:
-32 + 3x = 5 + -12 + -4 + -15x + 6x + -3x

Combine like terms: 5 + -12 = -7
-32 + 3x = -7 + -4 + -15x + 6x + -3x

Combine like terms: -7 + -4 = -11
-32 + 3x = -11 + -15x + 6x + -3x

Combine like terms: -15x + 6x = -9x
-32 + 3x = -11 + -9x + -3x

Combine like terms: -9x + -3x = -12x
-32 + 3x = -11 + -12x

Solving
-32 + 3x = -11 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-32 + 3x + 12x = -11 + -12x + 12x

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

Combine like terms: -12x + 12x = 0
-32 + 15x = -11 + 0
-32 + 15x = -11

Add '32' to each side of the equation.
-32 + 32 + 15x = -11 + 32

Combine like terms: -32 + 32 = 0
0 + 15x = -11 + 32
15x = -11 + 32

Combine like terms: -11 + 32 = 21
15x = 21

Divide each side by '15'.
x = 1.4

Simplifying
x = 1.4

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