17+2(1-x)=5-2(3-4x)

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Solution for 17+2(1-x)=5-2(3-4x) equation: 


Simplifying
17 + 2(1 + -1x) = 5 + -2(3 + -4x)
17 + (1 * 2 + -1x * 2) = 5 + -2(3 + -4x)
17 + (2 + -2x) = 5 + -2(3 + -4x)

Combine like terms: 17 + 2 = 19
19 + -2x = 5 + -2(3 + -4x)
19 + -2x = 5 + (3 * -2 + -4x * -2)
19 + -2x = 5 + (-6 + 8x)

Combine like terms: 5 + -6 = -1
19 + -2x = -1 + 8x

Solving
19 + -2x = -1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
19 + -2x + -8x = -1 + 8x + -8x

Combine like terms: -2x + -8x = -10x
19 + -10x = -1 + 8x + -8x

Combine like terms: 8x + -8x = 0
19 + -10x = -1 + 0
19 + -10x = -1

Add '-19' to each side of the equation.
19 + -19 + -10x = -1 + -19

Combine like terms: 19 + -19 = 0
0 + -10x = -1 + -19
-10x = -1 + -19

Combine like terms: -1 + -19 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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