6x-9=4x+3(x+3)

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Solution for 6x-9=4x+3(x+3) equation:


Simplifying
6x + -9 = 4x + 3(x + 3)

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

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

Reorder the terms:
-9 + 6x = 9 + 4x + 3x

Combine like terms: 4x + 3x = 7x
-9 + 6x = 9 + 7x

Solving
-9 + 6x = 9 + 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 = 9 + 7x + -7x

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

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

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

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

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

Divide each side by '-1'.
x = -18

Simplifying
x = -18

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