2-(5x-16)=6(x-2)

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Solution for 2-(5x-16)=6(x-2) equation:


Simplifying
2 + -1(5x + -16) = 6(x + -2)

Reorder the terms:
2 + -1(-16 + 5x) = 6(x + -2)
2 + (-16 * -1 + 5x * -1) = 6(x + -2)
2 + (16 + -5x) = 6(x + -2)

Combine like terms: 2 + 16 = 18
18 + -5x = 6(x + -2)

Reorder the terms:
18 + -5x = 6(-2 + x)
18 + -5x = (-2 * 6 + x * 6)
18 + -5x = (-12 + 6x)

Solving
18 + -5x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
18 + -5x + -6x = -12 + 6x + -6x

Combine like terms: -5x + -6x = -11x
18 + -11x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
18 + -11x = -12 + 0
18 + -11x = -12

Add '-18' to each side of the equation.
18 + -18 + -11x = -12 + -18

Combine like terms: 18 + -18 = 0
0 + -11x = -12 + -18
-11x = -12 + -18

Combine like terms: -12 + -18 = -30
-11x = -30

Divide each side by '-11'.
x = 2.727272727

Simplifying
x = 2.727272727

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