6(x-2)-16=3(2y-5)+11

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Solution for 6(x-2)-16=3(2y-5)+11 equation:


Simplifying
6(x + -2) + -16 = 3(2y + -5) + 11

Reorder the terms:
6(-2 + x) + -16 = 3(2y + -5) + 11
(-2 * 6 + x * 6) + -16 = 3(2y + -5) + 11
(-12 + 6x) + -16 = 3(2y + -5) + 11

Reorder the terms:
-12 + -16 + 6x = 3(2y + -5) + 11

Combine like terms: -12 + -16 = -28
-28 + 6x = 3(2y + -5) + 11

Reorder the terms:
-28 + 6x = 3(-5 + 2y) + 11
-28 + 6x = (-5 * 3 + 2y * 3) + 11
-28 + 6x = (-15 + 6y) + 11

Reorder the terms:
-28 + 6x = -15 + 11 + 6y

Combine like terms: -15 + 11 = -4
-28 + 6x = -4 + 6y

Solving
-28 + 6x = -4 + 6y

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 6x = -4 + 28 + 6y

Combine like terms: -28 + 28 = 0
0 + 6x = -4 + 28 + 6y
6x = -4 + 28 + 6y

Combine like terms: -4 + 28 = 24
6x = 24 + 6y

Divide each side by '6'.
x = 4 + y

Simplifying
x = 4 + y

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