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

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


Simplifying
3(-8 + -3x) = 2 + -8(x + 4)
(-8 * 3 + -3x * 3) = 2 + -8(x + 4)
(-24 + -9x) = 2 + -8(x + 4)

Reorder the terms:
-24 + -9x = 2 + -8(4 + x)
-24 + -9x = 2 + (4 * -8 + x * -8)
-24 + -9x = 2 + (-32 + -8x)

Combine like terms: 2 + -32 = -30
-24 + -9x = -30 + -8x

Solving
-24 + -9x = -30 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-24 + -9x + 8x = -30 + -8x + 8x

Combine like terms: -9x + 8x = -1x
-24 + -1x = -30 + -8x + 8x

Combine like terms: -8x + 8x = 0
-24 + -1x = -30 + 0
-24 + -1x = -30

Add '24' to each side of the equation.
-24 + 24 + -1x = -30 + 24

Combine like terms: -24 + 24 = 0
0 + -1x = -30 + 24
-1x = -30 + 24

Combine like terms: -30 + 24 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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