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

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Solution for 17-5x=1-2(1+x) equation:


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

Combine like terms: 1 + -2 = -1
17 + -5x = -1 + -2x

Solving
17 + -5x = -1 + -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.
17 + -5x + 2x = -1 + -2x + 2x

Combine like terms: -5x + 2x = -3x
17 + -3x = -1 + -2x + 2x

Combine like terms: -2x + 2x = 0
17 + -3x = -1 + 0
17 + -3x = -1

Add '-17' to each side of the equation.
17 + -17 + -3x = -1 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = -1 + -17
-3x = -1 + -17

Combine like terms: -1 + -17 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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