x+54=-7x-2

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Solution for x+54=-7x-2 equation:


Simplifying
x + 54 = -7x + -2

Reorder the terms:
54 + x = -7x + -2

Reorder the terms:
54 + x = -2 + -7x

Solving
54 + x = -2 + -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.
54 + x + 7x = -2 + -7x + 7x

Combine like terms: x + 7x = 8x
54 + 8x = -2 + -7x + 7x

Combine like terms: -7x + 7x = 0
54 + 8x = -2 + 0
54 + 8x = -2

Add '-54' to each side of the equation.
54 + -54 + 8x = -2 + -54

Combine like terms: 54 + -54 = 0
0 + 8x = -2 + -54
8x = -2 + -54

Combine like terms: -2 + -54 = -56
8x = -56

Divide each side by '8'.
x = -7

Simplifying
x = -7

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