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

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


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

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

Reorder the terms:
-18 + 9x = 2(3 + 2x)
-18 + 9x = (3 * 2 + 2x * 2)
-18 + 9x = (6 + 4x)

Solving
-18 + 9x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-18 + 9x + -4x = 6 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-18 + 5x = 6 + 0
-18 + 5x = 6

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

Combine like terms: -18 + 18 = 0
0 + 5x = 6 + 18
5x = 6 + 18

Combine like terms: 6 + 18 = 24
5x = 24

Divide each side by '5'.
x = 4.8

Simplifying
x = 4.8

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