9(x+2)+3(x+2)=5x-5

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Solution for 9(x+2)+3(x+2)=5x-5 equation:


Simplifying
9(x + 2) + 3(x + 2) = 5x + -5

Reorder the terms:
9(2 + x) + 3(x + 2) = 5x + -5
(2 * 9 + x * 9) + 3(x + 2) = 5x + -5
(18 + 9x) + 3(x + 2) = 5x + -5

Reorder the terms:
18 + 9x + 3(2 + x) = 5x + -5
18 + 9x + (2 * 3 + x * 3) = 5x + -5
18 + 9x + (6 + 3x) = 5x + -5

Reorder the terms:
18 + 6 + 9x + 3x = 5x + -5

Combine like terms: 18 + 6 = 24
24 + 9x + 3x = 5x + -5

Combine like terms: 9x + 3x = 12x
24 + 12x = 5x + -5

Reorder the terms:
24 + 12x = -5 + 5x

Solving
24 + 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.
24 + 12x + -5x = -5 + 5x + -5x

Combine like terms: 12x + -5x = 7x
24 + 7x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + 7x = -5 + 0
24 + 7x = -5

Add '-24' to each side of the equation.
24 + -24 + 7x = -5 + -24

Combine like terms: 24 + -24 = 0
0 + 7x = -5 + -24
7x = -5 + -24

Combine like terms: -5 + -24 = -29
7x = -29

Divide each side by '7'.
x = -4.142857143

Simplifying
x = -4.142857143

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