x+1=6x-54

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Solution for x+1=6x-54 equation:


Simplifying
x + 1 = 6x + -54

Reorder the terms:
1 + x = 6x + -54

Reorder the terms:
1 + x = -54 + 6x

Solving
1 + x = -54 + 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.
1 + x + -6x = -54 + 6x + -6x

Combine like terms: x + -6x = -5x
1 + -5x = -54 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -5x = -54 + 0
1 + -5x = -54

Add '-1' to each side of the equation.
1 + -1 + -5x = -54 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = -54 + -1
-5x = -54 + -1

Combine like terms: -54 + -1 = -55
-5x = -55

Divide each side by '-5'.
x = 11

Simplifying
x = 11

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