6x+3(9-4x)=20-(3x-34)

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Solution for 6x+3(9-4x)=20-(3x-34) equation:


Simplifying
6x + 3(9 + -4x) = 20 + -1(3x + -34)
6x + (9 * 3 + -4x * 3) = 20 + -1(3x + -34)
6x + (27 + -12x) = 20 + -1(3x + -34)

Reorder the terms:
27 + 6x + -12x = 20 + -1(3x + -34)

Combine like terms: 6x + -12x = -6x
27 + -6x = 20 + -1(3x + -34)

Reorder the terms:
27 + -6x = 20 + -1(-34 + 3x)
27 + -6x = 20 + (-34 * -1 + 3x * -1)
27 + -6x = 20 + (34 + -3x)

Combine like terms: 20 + 34 = 54
27 + -6x = 54 + -3x

Solving
27 + -6x = 54 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
27 + -6x + 3x = 54 + -3x + 3x

Combine like terms: -6x + 3x = -3x
27 + -3x = 54 + -3x + 3x

Combine like terms: -3x + 3x = 0
27 + -3x = 54 + 0
27 + -3x = 54

Add '-27' to each side of the equation.
27 + -27 + -3x = 54 + -27

Combine like terms: 27 + -27 = 0
0 + -3x = 54 + -27
-3x = 54 + -27

Combine like terms: 54 + -27 = 27
-3x = 27

Divide each side by '-3'.
x = -9

Simplifying
x = -9

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