x+36=8-6(1-3x)

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Solution for x+36=8-6(1-3x) equation:


Simplifying
x + 36 = 8 + -6(1 + -3x)

Reorder the terms:
36 + x = 8 + -6(1 + -3x)
36 + x = 8 + (1 * -6 + -3x * -6)
36 + x = 8 + (-6 + 18x)

Combine like terms: 8 + -6 = 2
36 + x = 2 + 18x

Solving
36 + x = 2 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
36 + x + -18x = 2 + 18x + -18x

Combine like terms: x + -18x = -17x
36 + -17x = 2 + 18x + -18x

Combine like terms: 18x + -18x = 0
36 + -17x = 2 + 0
36 + -17x = 2

Add '-36' to each side of the equation.
36 + -36 + -17x = 2 + -36

Combine like terms: 36 + -36 = 0
0 + -17x = 2 + -36
-17x = 2 + -36

Combine like terms: 2 + -36 = -34
-17x = -34

Divide each side by '-17'.
x = 2

Simplifying
x = 2

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