8x-22=3(3x+11)-6x

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Solution for 8x-22=3(3x+11)-6x equation:


Simplifying
8x + -22 = 3(3x + 11) + -6x

Reorder the terms:
-22 + 8x = 3(3x + 11) + -6x

Reorder the terms:
-22 + 8x = 3(11 + 3x) + -6x
-22 + 8x = (11 * 3 + 3x * 3) + -6x
-22 + 8x = (33 + 9x) + -6x

Combine like terms: 9x + -6x = 3x
-22 + 8x = 33 + 3x

Solving
-22 + 8x = 33 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-22 + 8x + -3x = 33 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-22 + 5x = 33 + 3x + -3x

Combine like terms: 3x + -3x = 0
-22 + 5x = 33 + 0
-22 + 5x = 33

Add '22' to each side of the equation.
-22 + 22 + 5x = 33 + 22

Combine like terms: -22 + 22 = 0
0 + 5x = 33 + 22
5x = 33 + 22

Combine like terms: 33 + 22 = 55
5x = 55

Divide each side by '5'.
x = 11

Simplifying
x = 11

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