9(x+3)+3(x+3)=5x-5

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Solution for 9(x+3)+3(x+3)=5x-5 equation:


Simplifying
9(x + 3) + 3(x + 3) = 5x + -5

Reorder the terms:
9(3 + x) + 3(x + 3) = 5x + -5
(3 * 9 + x * 9) + 3(x + 3) = 5x + -5
(27 + 9x) + 3(x + 3) = 5x + -5

Reorder the terms:
27 + 9x + 3(3 + x) = 5x + -5
27 + 9x + (3 * 3 + x * 3) = 5x + -5
27 + 9x + (9 + 3x) = 5x + -5

Reorder the terms:
27 + 9 + 9x + 3x = 5x + -5

Combine like terms: 27 + 9 = 36
36 + 9x + 3x = 5x + -5

Combine like terms: 9x + 3x = 12x
36 + 12x = 5x + -5

Reorder the terms:
36 + 12x = -5 + 5x

Solving
36 + 12x = -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 + 12x + -5x = -5 + 5x + -5x

Combine like terms: 12x + -5x = 7x
36 + 7x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
36 + 7x = -5 + 0
36 + 7x = -5

Add '-36' to each side of the equation.
36 + -36 + 7x = -5 + -36

Combine like terms: 36 + -36 = 0
0 + 7x = -5 + -36
7x = -5 + -36

Combine like terms: -5 + -36 = -41
7x = -41

Divide each side by '7'.
x = -5.857142857

Simplifying
x = -5.857142857

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