17-3(x+5)=(x+5)-2x

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Solution for 17-3(x+5)=(x+5)-2x equation: 


Simplifying
17 + -3(x + 5) = (x + 5) + -2x

Reorder the terms:
17 + -3(5 + x) = (x + 5) + -2x
17 + (5 * -3 + x * -3) = (x + 5) + -2x
17 + (-15 + -3x) = (x + 5) + -2x

Combine like terms: 17 + -15 = 2
2 + -3x = (x + 5) + -2x

Reorder the terms:
2 + -3x = (5 + x) + -2x

Remove parenthesis around (5 + x)
2 + -3x = 5 + x + -2x

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

Solving
2 + -3x = 5 + -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.
2 + -3x + x = 5 + -1x + x

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

Combine like terms: -1x + x = 0
2 + -2x = 5 + 0
2 + -2x = 5

Add '-2' to each side of the equation.
2 + -2 + -2x = 5 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = 5 + -2
-2x = 5 + -2

Combine like terms: 5 + -2 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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