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

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


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

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

Remove parenthesis around (-3 + x)
-3 + x + -1(9 + -2x) = 8
-3 + x + (9 * -1 + -2x * -1) = 8
-3 + x + (-9 + 2x) = 8

Reorder the terms:
-3 + -9 + x + 2x = 8

Combine like terms: -3 + -9 = -12
-12 + x + 2x = 8

Combine like terms: x + 2x = 3x
-12 + 3x = 8

Solving
-12 + 3x = 8

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 3x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 8 + 12
3x = 8 + 12

Combine like terms: 8 + 12 = 20
3x = 20

Divide each side by '3'.
x = 6.666666667

Simplifying
x = 6.666666667

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