6x-9=3(x-4)

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


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

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

Reorder the terms:
-9 + 6x = 3(-4 + x)
-9 + 6x = (-4 * 3 + x * 3)
-9 + 6x = (-12 + 3x)

Solving
-9 + 6x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + 6x + -3x = -12 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-9 + 3x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + 3x = -12 + 0
-9 + 3x = -12

Add '9' to each side of the equation.
-9 + 9 + 3x = -12 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = -12 + 9
3x = -12 + 9

Combine like terms: -12 + 9 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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