105=-5x+6(3x-2)

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Solution for 105=-5x+6(3x-2) equation:


Simplifying
105 = -5x + 6(3x + -2)

Reorder the terms:
105 = -5x + 6(-2 + 3x)
105 = -5x + (-2 * 6 + 3x * 6)
105 = -5x + (-12 + 18x)

Reorder the terms:
105 = -12 + -5x + 18x

Combine like terms: -5x + 18x = 13x
105 = -12 + 13x

Solving
105 = -12 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
105 + -13x = -12 + 13x + -13x

Combine like terms: 13x + -13x = 0
105 + -13x = -12 + 0
105 + -13x = -12

Add '-105' to each side of the equation.
105 + -105 + -13x = -12 + -105

Combine like terms: 105 + -105 = 0
0 + -13x = -12 + -105
-13x = -12 + -105

Combine like terms: -12 + -105 = -117
-13x = -117

Divide each side by '-13'.
x = 9

Simplifying
x = 9

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