3x+9=5-3(x-1)

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Solution for 3x+9=5-3(x-1) equation:


Simplifying
3x + 9 = 5 + -3(x + -1)

Reorder the terms:
9 + 3x = 5 + -3(x + -1)

Reorder the terms:
9 + 3x = 5 + -3(-1 + x)
9 + 3x = 5 + (-1 * -3 + x * -3)
9 + 3x = 5 + (3 + -3x)

Combine like terms: 5 + 3 = 8
9 + 3x = 8 + -3x

Solving
9 + 3x = 8 + -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 + 3x = 8 + -3x + 3x

Combine like terms: 3x + 3x = 6x
9 + 6x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
9 + 6x = 8 + 0
9 + 6x = 8

Add '-9' to each side of the equation.
9 + -9 + 6x = 8 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = 8 + -9
6x = 8 + -9

Combine like terms: 8 + -9 = -1
6x = -1

Divide each side by '6'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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