4(x-8)=-3x-9(x+2)+2

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Solution for 4(x-8)=-3x-9(x+2)+2 equation: 


Simplifying
4(x + -8) = -3x + -9(x + 2) + 2

Reorder the terms:
4(-8 + x) = -3x + -9(x + 2) + 2
(-8 * 4 + x * 4) = -3x + -9(x + 2) + 2
(-32 + 4x) = -3x + -9(x + 2) + 2

Reorder the terms:
-32 + 4x = -3x + -9(2 + x) + 2
-32 + 4x = -3x + (2 * -9 + x * -9) + 2
-32 + 4x = -3x + (-18 + -9x) + 2

Reorder the terms:
-32 + 4x = -18 + 2 + -3x + -9x

Combine like terms: -18 + 2 = -16
-32 + 4x = -16 + -3x + -9x

Combine like terms: -3x + -9x = -12x
-32 + 4x = -16 + -12x

Solving
-32 + 4x = -16 + -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 + 4x + 12x = -16 + -12x + 12x

Combine like terms: 4x + 12x = 16x
-32 + 16x = -16 + -12x + 12x

Combine like terms: -12x + 12x = 0
-32 + 16x = -16 + 0
-32 + 16x = -16

Add '32' to each side of the equation.
-32 + 32 + 16x = -16 + 32

Combine like terms: -32 + 32 = 0
0 + 16x = -16 + 32
16x = -16 + 32

Combine like terms: -16 + 32 = 16
16x = 16

Divide each side by '16'.
x = 1

Simplifying
x = 1

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