6(-6x-2)=17-7x

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Solution for 6(-6x-2)=17-7x equation:


Simplifying
6(-6x + -2) = 17 + -7x

Reorder the terms:
6(-2 + -6x) = 17 + -7x
(-2 * 6 + -6x * 6) = 17 + -7x
(-12 + -36x) = 17 + -7x

Solving
-12 + -36x = 17 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-12 + -36x + 7x = 17 + -7x + 7x

Combine like terms: -36x + 7x = -29x
-12 + -29x = 17 + -7x + 7x

Combine like terms: -7x + 7x = 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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