5(x+8)=-(x+17)

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Solution for 5(x+8)=-(x+17) equation:


Simplifying
5(x + 8) = -1(x + 17)

Reorder the terms:
5(8 + x) = -1(x + 17)
(8 * 5 + x * 5) = -1(x + 17)
(40 + 5x) = -1(x + 17)

Reorder the terms:
40 + 5x = -1(17 + x)
40 + 5x = (17 * -1 + x * -1)
40 + 5x = (-17 + -1x)

Solving
40 + 5x = -17 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
40 + 5x + x = -17 + -1x + x

Combine like terms: 5x + x = 6x
40 + 6x = -17 + -1x + x

Combine like terms: -1x + x = 0
40 + 6x = -17 + 0
40 + 6x = -17

Add '-40' to each side of the equation.
40 + -40 + 6x = -17 + -40

Combine like terms: 40 + -40 = 0
0 + 6x = -17 + -40
6x = -17 + -40

Combine like terms: -17 + -40 = -57
6x = -57

Divide each side by '6'.
x = -9.5

Simplifying
x = -9.5

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