3x+6(-6x-2)=17-4x

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Solution for 3x+6(-6x-2)=17-4x equation:


Simplifying
3x + 6(-6x + -2) = 17 + -4x

Reorder the terms:
3x + 6(-2 + -6x) = 17 + -4x
3x + (-2 * 6 + -6x * 6) = 17 + -4x
3x + (-12 + -36x) = 17 + -4x

Reorder the terms:
-12 + 3x + -36x = 17 + -4x

Combine like terms: 3x + -36x = -33x
-12 + -33x = 17 + -4x

Solving
-12 + -33x = 17 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-12 + -33x + 4x = 17 + -4x + 4x

Combine like terms: -33x + 4x = -29x
-12 + -29x = 17 + -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + -29x = 17 + 0
-12 + -29x = 17

Add '12' to each side of the equation.
-12 + 12 + -29x = 17 + 12

Combine like terms: -12 + 12 = 0
0 + -29x = 17 + 12
-29x = 17 + 12

Combine like terms: 17 + 12 = 29
-29x = 29

Divide each side by '-29'.
x = -1

Simplifying
x = -1

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