9(x+1)=3(x+3)-36

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Solution for 9(x+1)=3(x+3)-36 equation: 


Simplifying
9(x + 1) = 3(x + 3) + -36

Reorder the terms:
9(1 + x) = 3(x + 3) + -36
(1 * 9 + x * 9) = 3(x + 3) + -36
(9 + 9x) = 3(x + 3) + -36

Reorder the terms:
9 + 9x = 3(3 + x) + -36
9 + 9x = (3 * 3 + x * 3) + -36
9 + 9x = (9 + 3x) + -36

Reorder the terms:
9 + 9x = 9 + -36 + 3x

Combine like terms: 9 + -36 = -27
9 + 9x = -27 + 3x

Solving
9 + 9x = -27 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + 9x + -3x = -27 + 3x + -3x

Combine like terms: 9x + -3x = 6x
9 + 6x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + 6x = -27 + 0
9 + 6x = -27

Add '-9' to each side of the equation.
9 + -9 + 6x = -27 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = -27 + -9
6x = -27 + -9

Combine like terms: -27 + -9 = -36
6x = -36

Divide each side by '6'.
x = -6

Simplifying
x = -6

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