105=-6(4x-6)-3

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Solution for 105=-6(4x-6)-3 equation:


Simplifying
105 = -6(4x + -6) + -3

Reorder the terms:
105 = -6(-6 + 4x) + -3
105 = (-6 * -6 + 4x * -6) + -3
105 = (36 + -24x) + -3

Reorder the terms:
105 = 36 + -3 + -24x

Combine like terms: 36 + -3 = 33
105 = 33 + -24x

Solving
105 = 33 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
105 + 24x = 33 + -24x + 24x

Combine like terms: -24x + 24x = 0
105 + 24x = 33 + 0
105 + 24x = 33

Add '-105' to each side of the equation.
105 + -105 + 24x = 33 + -105

Combine like terms: 105 + -105 = 0
0 + 24x = 33 + -105
24x = 33 + -105

Combine like terms: 33 + -105 = -72
24x = -72

Divide each side by '24'.
x = -3

Simplifying
x = -3

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