5(x+4)+9=-2(x-8)-1

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Solution for 5(x+4)+9=-2(x-8)-1 equation:


Simplifying
5(x + 4) + 9 = -2(x + -8) + -1

Reorder the terms:
5(4 + x) + 9 = -2(x + -8) + -1
(4 * 5 + x * 5) + 9 = -2(x + -8) + -1
(20 + 5x) + 9 = -2(x + -8) + -1

Reorder the terms:
20 + 9 + 5x = -2(x + -8) + -1

Combine like terms: 20 + 9 = 29
29 + 5x = -2(x + -8) + -1

Reorder the terms:
29 + 5x = -2(-8 + x) + -1
29 + 5x = (-8 * -2 + x * -2) + -1
29 + 5x = (16 + -2x) + -1

Reorder the terms:
29 + 5x = 16 + -1 + -2x

Combine like terms: 16 + -1 = 15
29 + 5x = 15 + -2x

Solving
29 + 5x = 15 + -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.
29 + 5x + 2x = 15 + -2x + 2x

Combine like terms: 5x + 2x = 7x
29 + 7x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
29 + 7x = 15 + 0
29 + 7x = 15

Add '-29' to each side of the equation.
29 + -29 + 7x = 15 + -29

Combine like terms: 29 + -29 = 0
0 + 7x = 15 + -29
7x = 15 + -29

Combine like terms: 15 + -29 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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