(x-3)=-6x-17

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


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

Reorder the terms:
(-3 + x) = -6x + -17

Remove parenthesis around (-3 + x)
-3 + x = -6x + -17

Reorder the terms:
-3 + x = -17 + -6x

Solving
-3 + x = -17 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-3 + x + 6x = -17 + -6x + 6x

Combine like terms: x + 6x = 7x
-3 + 7x = -17 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 7x = -17 + 0
-3 + 7x = -17

Add '3' to each side of the equation.
-3 + 3 + 7x = -17 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = -17 + 3
7x = -17 + 3

Combine like terms: -17 + 3 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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