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

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Solution for 7(x+3)+9=5(x-2)-3x equation: 


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

Reorder the terms:
7(3 + x) + 9 = 5(x + -2) + -3x
(3 * 7 + x * 7) + 9 = 5(x + -2) + -3x
(21 + 7x) + 9 = 5(x + -2) + -3x

Reorder the terms:
21 + 9 + 7x = 5(x + -2) + -3x

Combine like terms: 21 + 9 = 30
30 + 7x = 5(x + -2) + -3x

Reorder the terms:
30 + 7x = 5(-2 + x) + -3x
30 + 7x = (-2 * 5 + x * 5) + -3x
30 + 7x = (-10 + 5x) + -3x

Combine like terms: 5x + -3x = 2x
30 + 7x = -10 + 2x

Solving
30 + 7x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
30 + 7x + -2x = -10 + 2x + -2x

Combine like terms: 7x + -2x = 5x
30 + 5x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + 5x = -10 + 0
30 + 5x = -10

Add '-30' to each side of the equation.
30 + -30 + 5x = -10 + -30

Combine like terms: 30 + -30 = 0
0 + 5x = -10 + -30
5x = -10 + -30

Combine like terms: -10 + -30 = -40
5x = -40

Divide each side by '5'.
x = -8

Simplifying
x = -8

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