3x-4=9(x-2)

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Solution for 3x-4=9(x-2) equation:


Simplifying
3x + -4 = 9(x + -2)

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

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

Solving
-4 + 3x = -18 + 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.
-4 + 3x + -9x = -18 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-4 + -6x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
-4 + -6x = -18 + 0
-4 + -6x = -18

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

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

Combine like terms: -18 + 4 = -14
-6x = -14

Divide each side by '-6'.
x = 2.333333333

Simplifying
x = 2.333333333

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