3x-6(x-5)=-4-5(x-12)

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Solution for 3x-6(x-5)=-4-5(x-12) equation: 


Simplifying
3x + -6(x + -5) = -4 + -5(x + -12)

Reorder the terms:
3x + -6(-5 + x) = -4 + -5(x + -12)
3x + (-5 * -6 + x * -6) = -4 + -5(x + -12)
3x + (30 + -6x) = -4 + -5(x + -12)

Reorder the terms:
30 + 3x + -6x = -4 + -5(x + -12)

Combine like terms: 3x + -6x = -3x
30 + -3x = -4 + -5(x + -12)

Reorder the terms:
30 + -3x = -4 + -5(-12 + x)
30 + -3x = -4 + (-12 * -5 + x * -5)
30 + -3x = -4 + (60 + -5x)

Combine like terms: -4 + 60 = 56
30 + -3x = 56 + -5x

Solving
30 + -3x = 56 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
30 + -3x + 5x = 56 + -5x + 5x

Combine like terms: -3x + 5x = 2x
30 + 2x = 56 + -5x + 5x

Combine like terms: -5x + 5x = 0
30 + 2x = 56 + 0
30 + 2x = 56

Add '-30' to each side of the equation.
30 + -30 + 2x = 56 + -30

Combine like terms: 30 + -30 = 0
0 + 2x = 56 + -30
2x = 56 + -30

Combine like terms: 56 + -30 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13

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