22x+9(2-3x)=3(2-3x)

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Solution for 22x+9(2-3x)=3(2-3x) equation:


Simplifying
22x + 9(2 + -3x) = 3(2 + -3x)
22x + (2 * 9 + -3x * 9) = 3(2 + -3x)
22x + (18 + -27x) = 3(2 + -3x)

Reorder the terms:
18 + 22x + -27x = 3(2 + -3x)

Combine like terms: 22x + -27x = -5x
18 + -5x = 3(2 + -3x)
18 + -5x = (2 * 3 + -3x * 3)
18 + -5x = (6 + -9x)

Solving
18 + -5x = 6 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
18 + -5x + 9x = 6 + -9x + 9x

Combine like terms: -5x + 9x = 4x
18 + 4x = 6 + -9x + 9x

Combine like terms: -9x + 9x = 0
18 + 4x = 6 + 0
18 + 4x = 6

Add '-18' to each side of the equation.
18 + -18 + 4x = 6 + -18

Combine like terms: 18 + -18 = 0
0 + 4x = 6 + -18
4x = 6 + -18

Combine like terms: 6 + -18 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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