5(x+3)+9=2x-2-1

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Solution for 5(x+3)+9=2x-2-1 equation:


Simplifying
5(x + 3) + 9 = 2x + -2 + -1

Reorder the terms:
5(3 + x) + 9 = 2x + -2 + -1
(3 * 5 + x * 5) + 9 = 2x + -2 + -1
(15 + 5x) + 9 = 2x + -2 + -1

Reorder the terms:
15 + 9 + 5x = 2x + -2 + -1

Combine like terms: 15 + 9 = 24
24 + 5x = 2x + -2 + -1

Reorder the terms:
24 + 5x = -2 + -1 + 2x

Combine like terms: -2 + -1 = -3
24 + 5x = -3 + 2x

Solving
24 + 5x = -3 + 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.
24 + 5x + -2x = -3 + 2x + -2x

Combine like terms: 5x + -2x = 3x
24 + 3x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + 3x = -3 + 0
24 + 3x = -3

Add '-24' to each side of the equation.
24 + -24 + 3x = -3 + -24

Combine like terms: 24 + -24 = 0
0 + 3x = -3 + -24
3x = -3 + -24

Combine like terms: -3 + -24 = -27
3x = -27

Divide each side by '3'.
x = -9

Simplifying
x = -9

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