3x+5+2(-x-5)=9x+8

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Solution for 3x+5+2(-x-5)=9x+8 equation:


Simplifying
3x + 5 + 2(-1x + -5) = 9x + 8

Reorder the terms:
3x + 5 + 2(-5 + -1x) = 9x + 8
3x + 5 + (-5 * 2 + -1x * 2) = 9x + 8
3x + 5 + (-10 + -2x) = 9x + 8

Reorder the terms:
5 + -10 + 3x + -2x = 9x + 8

Combine like terms: 5 + -10 = -5
-5 + 3x + -2x = 9x + 8

Combine like terms: 3x + -2x = 1x
-5 + 1x = 9x + 8

Reorder the terms:
-5 + 1x = 8 + 9x

Solving
-5 + 1x = 8 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-5 + 1x + -9x = 8 + 9x + -9x

Combine like terms: 1x + -9x = -8x
-5 + -8x = 8 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + -8x = 8 + 0
-5 + -8x = 8

Add '5' to each side of the equation.
-5 + 5 + -8x = 8 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = 8 + 5
-8x = 8 + 5

Combine like terms: 8 + 5 = 13
-8x = 13

Divide each side by '-8'.
x = -1.625

Simplifying
x = -1.625

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