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

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


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

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

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

Combine like terms: 24 + 8 = 32
32 + -3x = -6(x + 5)

Reorder the terms:
32 + -3x = -6(5 + x)
32 + -3x = (5 * -6 + x * -6)
32 + -3x = (-30 + -6x)

Solving
32 + -3x = -30 + -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.
32 + -3x + 6x = -30 + -6x + 6x

Combine like terms: -3x + 6x = 3x
32 + 3x = -30 + -6x + 6x

Combine like terms: -6x + 6x = 0
32 + 3x = -30 + 0
32 + 3x = -30

Add '-32' to each side of the equation.
32 + -32 + 3x = -30 + -32

Combine like terms: 32 + -32 = 0
0 + 3x = -30 + -32
3x = -30 + -32

Combine like terms: -30 + -32 = -62
3x = -62

Divide each side by '3'.
x = -20.66666667

Simplifying
x = -20.66666667

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