9(x-3)=2(x+1)

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Solution for 9(x-3)=2(x+1) equation:


Simplifying
9(x + -3) = 2(x + 1)

Reorder the terms:
9(-3 + x) = 2(x + 1)
(-3 * 9 + x * 9) = 2(x + 1)
(-27 + 9x) = 2(x + 1)

Reorder the terms:
-27 + 9x = 2(1 + x)
-27 + 9x = (1 * 2 + x * 2)
-27 + 9x = (2 + 2x)

Solving
-27 + 9x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-27 + 9x + -2x = 2 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-27 + 7x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-27 + 7x = 2 + 0
-27 + 7x = 2

Add '27' to each side of the equation.
-27 + 27 + 7x = 2 + 27

Combine like terms: -27 + 27 = 0
0 + 7x = 2 + 27
7x = 2 + 27

Combine like terms: 2 + 27 = 29
7x = 29

Divide each side by '7'.
x = 4.142857143

Simplifying
x = 4.142857143

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