3+3(x-1)=8-9(x-2)

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Solution for 3+3(x-1)=8-9(x-2) equation:


Simplifying
3 + 3(x + -1) = 8 + -9(x + -2)

Reorder the terms:
3 + 3(-1 + x) = 8 + -9(x + -2)
3 + (-1 * 3 + x * 3) = 8 + -9(x + -2)
3 + (-3 + 3x) = 8 + -9(x + -2)

Combine like terms: 3 + -3 = 0
0 + 3x = 8 + -9(x + -2)
3x = 8 + -9(x + -2)

Reorder the terms:
3x = 8 + -9(-2 + x)
3x = 8 + (-2 * -9 + x * -9)
3x = 8 + (18 + -9x)

Combine like terms: 8 + 18 = 26
3x = 26 + -9x

Solving
3x = 26 + -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.
3x + 9x = 26 + -9x + 9x

Combine like terms: 3x + 9x = 12x
12x = 26 + -9x + 9x

Combine like terms: -9x + 9x = 0
12x = 26 + 0
12x = 26

Divide each side by '12'.
x = 2.166666667

Simplifying
x = 2.166666667

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