6(9x-1)-20=11(2k-3)+2

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Solution for 6(9x-1)-20=11(2k-3)+2 equation:


Simplifying
6(9x + -1) + -20 = 11(2k + -3) + 2

Reorder the terms:
6(-1 + 9x) + -20 = 11(2k + -3) + 2
(-1 * 6 + 9x * 6) + -20 = 11(2k + -3) + 2
(-6 + 54x) + -20 = 11(2k + -3) + 2

Reorder the terms:
-6 + -20 + 54x = 11(2k + -3) + 2

Combine like terms: -6 + -20 = -26
-26 + 54x = 11(2k + -3) + 2

Reorder the terms:
-26 + 54x = 11(-3 + 2k) + 2
-26 + 54x = (-3 * 11 + 2k * 11) + 2
-26 + 54x = (-33 + 22k) + 2

Reorder the terms:
-26 + 54x = -33 + 2 + 22k

Combine like terms: -33 + 2 = -31
-26 + 54x = -31 + 22k

Solving
-26 + 54x = -31 + 22k

Solving for variable 'x'.

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

Add '26' to each side of the equation.
-26 + 26 + 54x = -31 + 26 + 22k

Combine like terms: -26 + 26 = 0
0 + 54x = -31 + 26 + 22k
54x = -31 + 26 + 22k

Combine like terms: -31 + 26 = -5
54x = -5 + 22k

Divide each side by '54'.
x = -0.09259259259 + 0.4074074074k

Simplifying
x = -0.09259259259 + 0.4074074074k

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