x-2(5x+8)=-(x+17)

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Solution for x-2(5x+8)=-(x+17) equation:


Simplifying
x + -2(5x + 8) = -1(x + 17)

Reorder the terms:
x + -2(8 + 5x) = -1(x + 17)
x + (8 * -2 + 5x * -2) = -1(x + 17)
x + (-16 + -10x) = -1(x + 17)

Reorder the terms:
-16 + x + -10x = -1(x + 17)

Combine like terms: x + -10x = -9x
-16 + -9x = -1(x + 17)

Reorder the terms:
-16 + -9x = -1(17 + x)
-16 + -9x = (17 * -1 + x * -1)
-16 + -9x = (-17 + -1x)

Solving
-16 + -9x = -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.
-16 + -9x + x = -17 + -1x + x

Combine like terms: -9x + x = -8x
-16 + -8x = -17 + -1x + x

Combine like terms: -1x + x = 0
-16 + -8x = -17 + 0
-16 + -8x = -17

Add '16' to each side of the equation.
-16 + 16 + -8x = -17 + 16

Combine like terms: -16 + 16 = 0
0 + -8x = -17 + 16
-8x = -17 + 16

Combine like terms: -17 + 16 = -1
-8x = -1

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125

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