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

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


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

Reorder the terms:
3(-8 + x) + -5x + 6 = -4 + -1(4 + -3x)
(-8 * 3 + x * 3) + -5x + 6 = -4 + -1(4 + -3x)
(-24 + 3x) + -5x + 6 = -4 + -1(4 + -3x)

Reorder the terms:
-24 + 6 + 3x + -5x = -4 + -1(4 + -3x)

Combine like terms: -24 + 6 = -18
-18 + 3x + -5x = -4 + -1(4 + -3x)

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

Combine like terms: -4 + -4 = -8
-18 + -2x = -8 + 3x

Solving
-18 + -2x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-18 + -2x + -3x = -8 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-18 + -5x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + -5x = -8 + 0
-18 + -5x = -8

Add '18' to each side of the equation.
-18 + 18 + -5x = -8 + 18

Combine like terms: -18 + 18 = 0
0 + -5x = -8 + 18
-5x = -8 + 18

Combine like terms: -8 + 18 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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