20x-3(x-2)=27-6(12x-8x-4)

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Solution for 20x-3(x-2)=27-6(12x-8x-4) equation:


Simplifying
20x + -3(x + -2) = 27 + -6(12x + -8x + -4)

Reorder the terms:
20x + -3(-2 + x) = 27 + -6(12x + -8x + -4)
20x + (-2 * -3 + x * -3) = 27 + -6(12x + -8x + -4)
20x + (6 + -3x) = 27 + -6(12x + -8x + -4)

Reorder the terms:
6 + 20x + -3x = 27 + -6(12x + -8x + -4)

Combine like terms: 20x + -3x = 17x
6 + 17x = 27 + -6(12x + -8x + -4)

Reorder the terms:
6 + 17x = 27 + -6(-4 + 12x + -8x)

Combine like terms: 12x + -8x = 4x
6 + 17x = 27 + -6(-4 + 4x)
6 + 17x = 27 + (-4 * -6 + 4x * -6)
6 + 17x = 27 + (24 + -24x)

Combine like terms: 27 + 24 = 51
6 + 17x = 51 + -24x

Solving
6 + 17x = 51 + -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.
6 + 17x + 24x = 51 + -24x + 24x

Combine like terms: 17x + 24x = 41x
6 + 41x = 51 + -24x + 24x

Combine like terms: -24x + 24x = 0
6 + 41x = 51 + 0
6 + 41x = 51

Add '-6' to each side of the equation.
6 + -6 + 41x = 51 + -6

Combine like terms: 6 + -6 = 0
0 + 41x = 51 + -6
41x = 51 + -6

Combine like terms: 51 + -6 = 45
41x = 45

Divide each side by '41'.
x = 1.097560976

Simplifying
x = 1.097560976

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