x-6=-7x-30

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Solution for x-6=-7x-30 equation:


Simplifying
x + -6 = -7x + -30

Reorder the terms:
-6 + x = -7x + -30

Reorder the terms:
-6 + x = -30 + -7x

Solving
-6 + x = -30 + -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.
-6 + x + 7x = -30 + -7x + 7x

Combine like terms: x + 7x = 8x
-6 + 8x = -30 + -7x + 7x

Combine like terms: -7x + 7x = 0
-6 + 8x = -30 + 0
-6 + 8x = -30

Add '6' to each side of the equation.
-6 + 6 + 8x = -30 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = -30 + 6
8x = -30 + 6

Combine like terms: -30 + 6 = -24
8x = -24

Divide each side by '8'.
x = -3

Simplifying
x = -3

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