17(4-3x)=-2(5+6x)

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Solution for 17(4-3x)=-2(5+6x) equation: 


Simplifying
17(4 + -3x) = -2(5 + 6x)
(4 * 17 + -3x * 17) = -2(5 + 6x)
(68 + -51x) = -2(5 + 6x)
68 + -51x = (5 * -2 + 6x * -2)
68 + -51x = (-10 + -12x)

Solving
68 + -51x = -10 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
68 + -51x + 12x = -10 + -12x + 12x

Combine like terms: -51x + 12x = -39x
68 + -39x = -10 + -12x + 12x

Combine like terms: -12x + 12x = 0
68 + -39x = -10 + 0
68 + -39x = -10

Add '-68' to each side of the equation.
68 + -68 + -39x = -10 + -68

Combine like terms: 68 + -68 = 0
0 + -39x = -10 + -68
-39x = -10 + -68

Combine like terms: -10 + -68 = -78
-39x = -78

Divide each side by '-39'.
x = 2

Simplifying
x = 2

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