(6x-9)=5x+2(x+9)

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Solution for (6x-9)=5x+2(x+9) equation:


Simplifying
(6x + -9) = 5x + 2(x + 9)

Reorder the terms:
(-9 + 6x) = 5x + 2(x + 9)

Remove parenthesis around (-9 + 6x)
-9 + 6x = 5x + 2(x + 9)

Reorder the terms:
-9 + 6x = 5x + 2(9 + x)
-9 + 6x = 5x + (9 * 2 + x * 2)
-9 + 6x = 5x + (18 + 2x)

Reorder the terms:
-9 + 6x = 18 + 5x + 2x

Combine like terms: 5x + 2x = 7x
-9 + 6x = 18 + 7x

Solving
-9 + 6x = 18 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-9 + 6x + -7x = 18 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-9 + -1x = 18 + 7x + -7x

Combine like terms: 7x + -7x = 0
-9 + -1x = 18 + 0
-9 + -1x = 18

Add '9' to each side of the equation.
-9 + 9 + -1x = 18 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 18 + 9
-1x = 18 + 9

Combine like terms: 18 + 9 = 27
-1x = 27

Divide each side by '-1'.
x = -27

Simplifying
x = -27

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