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

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


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

Reorder the terms:
-3(-8 + 3x) + 5(6 + -1x) = -6
(-8 * -3 + 3x * -3) + 5(6 + -1x) = -6
(24 + -9x) + 5(6 + -1x) = -6
24 + -9x + (6 * 5 + -1x * 5) = -6
24 + -9x + (30 + -5x) = -6

Reorder the terms:
24 + 30 + -9x + -5x = -6

Combine like terms: 24 + 30 = 54
54 + -9x + -5x = -6

Combine like terms: -9x + -5x = -14x
54 + -14x = -6

Solving
54 + -14x = -6

Solving for variable 'x'.

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

Add '-54' to each side of the equation.
54 + -54 + -14x = -6 + -54

Combine like terms: 54 + -54 = 0
0 + -14x = -6 + -54
-14x = -6 + -54

Combine like terms: -6 + -54 = -60
-14x = -60

Divide each side by '-14'.
x = 4.285714286

Simplifying
x = 4.285714286

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