x+6=6(x-1)

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Solution for x+6=6(x-1) equation:


Simplifying
x + 6 = 6(x + -1)

Reorder the terms:
6 + x = 6(x + -1)

Reorder the terms:
6 + x = 6(-1 + x)
6 + x = (-1 * 6 + x * 6)
6 + x = (-6 + 6x)

Solving
6 + x = -6 + 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.
6 + x + -6x = -6 + 6x + -6x

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

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

Add '-6' to each side of the equation.
6 + -6 + -5x = -6 + -6

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

Combine like terms: -6 + -6 = -12
-5x = -12

Divide each side by '-5'.
x = 2.4

Simplifying
x = 2.4

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