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

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


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

Reorder the terms:
2(-1 + 2x) = 9(x + 3)
(-1 * 2 + 2x * 2) = 9(x + 3)
(-2 + 4x) = 9(x + 3)

Reorder the terms:
-2 + 4x = 9(3 + x)
-2 + 4x = (3 * 9 + x * 9)
-2 + 4x = (27 + 9x)

Solving
-2 + 4x = 27 + 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.
-2 + 4x + -9x = 27 + 9x + -9x

Combine like terms: 4x + -9x = -5x
-2 + -5x = 27 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + -5x = 27 + 0
-2 + -5x = 27

Add '2' to each side of the equation.
-2 + 2 + -5x = 27 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 27 + 2
-5x = 27 + 2

Combine like terms: 27 + 2 = 29
-5x = 29

Divide each side by '-5'.
x = -5.8

Simplifying
x = -5.8

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