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

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


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

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

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

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

Reorder the terms:
24 + 5x = -2(-2 + x) + -1
24 + 5x = (-2 * -2 + x * -2) + -1
24 + 5x = (4 + -2x) + -1

Reorder the terms:
24 + 5x = 4 + -1 + -2x

Combine like terms: 4 + -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 = 7x
24 + 7x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
24 + 7x = 3 + 0
24 + 7x = 3

Add '-24' to each side of the equation.
24 + -24 + 7x = 3 + -24

Combine like terms: 24 + -24 = 0
0 + 7x = 3 + -24
7x = 3 + -24

Combine like terms: 3 + -24 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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