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

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


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

Reorder the terms:
9(-2 + x) = 2(x + 3)
(-2 * 9 + x * 9) = 2(x + 3)
(-18 + 9x) = 2(x + 3)

Reorder the terms:
-18 + 9x = 2(3 + x)
-18 + 9x = (3 * 2 + x * 2)
-18 + 9x = (6 + 2x)

Solving
-18 + 9x = 6 + 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.
-18 + 9x + -2x = 6 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-18 + 7x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + 7x = 6 + 0
-18 + 7x = 6

Add '18' to each side of the equation.
-18 + 18 + 7x = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 7x = 6 + 18
7x = 6 + 18

Combine like terms: 6 + 18 = 24
7x = 24

Divide each side by '7'.
x = 3.428571429

Simplifying
x = 3.428571429

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