6(6+x)=5(x-1)

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Solution for 6(6+x)=5(x-1) equation: 


Simplifying
6(6 + x) = 5(x + -1)
(6 * 6 + x * 6) = 5(x + -1)
(36 + 6x) = 5(x + -1)

Reorder the terms:
36 + 6x = 5(-1 + x)
36 + 6x = (-1 * 5 + x * 5)
36 + 6x = (-5 + 5x)

Solving
36 + 6x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
36 + 6x + -5x = -5 + 5x + -5x

Combine like terms: 6x + -5x = 1x
36 + 1x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
36 + 1x = -5 + 0
36 + 1x = -5

Add '-36' to each side of the equation.
36 + -36 + 1x = -5 + -36

Combine like terms: 36 + -36 = 0
0 + 1x = -5 + -36
1x = -5 + -36

Combine like terms: -5 + -36 = -41
1x = -41

Divide each side by '1'.
x = -41

Simplifying
x = -41

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