9=2-3(x-4)

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


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

Reorder the terms:
9 = 2 + -3(-4 + x)
9 = 2 + (-4 * -3 + x * -3)
9 = 2 + (12 + -3x)

Combine like terms: 2 + 12 = 14
9 = 14 + -3x

Solving
9 = 14 + -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 + 3x = 14 + -3x + 3x

Combine like terms: -3x + 3x = 0
9 + 3x = 14 + 0
9 + 3x = 14

Add '-9' to each side of the equation.
9 + -9 + 3x = 14 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = 14 + -9
3x = 14 + -9

Combine like terms: 14 + -9 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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