6(17-x)=2-4x

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Solution for 6(17-x)=2-4x equation:


Simplifying
6(17 + -1x) = 2 + -4x
(17 * 6 + -1x * 6) = 2 + -4x
(102 + -6x) = 2 + -4x

Solving
102 + -6x = 2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
102 + -6x + 4x = 2 + -4x + 4x

Combine like terms: -6x + 4x = -2x
102 + -2x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
102 + -2x = 2 + 0
102 + -2x = 2

Add '-102' to each side of the equation.
102 + -102 + -2x = 2 + -102

Combine like terms: 102 + -102 = 0
0 + -2x = 2 + -102
-2x = 2 + -102

Combine like terms: 2 + -102 = -100
-2x = -100

Divide each side by '-2'.
x = 50

Simplifying
x = 50

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