2(x+9)=(4x-27)

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Solution for 2(x+9)=(4x-27) equation:


Simplifying
2(x + 9) = (4x + -27)

Reorder the terms:
2(9 + x) = (4x + -27)
(9 * 2 + x * 2) = (4x + -27)
(18 + 2x) = (4x + -27)

Reorder the terms:
18 + 2x = (-27 + 4x)

Remove parenthesis around (-27 + 4x)
18 + 2x = -27 + 4x

Solving
18 + 2x = -27 + 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 + 2x + -4x = -27 + 4x + -4x

Combine like terms: 2x + -4x = -2x
18 + -2x = -27 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + -2x = -27 + 0
18 + -2x = -27

Add '-18' to each side of the equation.
18 + -18 + -2x = -27 + -18

Combine like terms: 18 + -18 = 0
0 + -2x = -27 + -18
-2x = -27 + -18

Combine like terms: -27 + -18 = -45
-2x = -45

Divide each side by '-2'.
x = 22.5

Simplifying
x = 22.5

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