9(x-1)=-3(3-x)+6

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Solution for 9(x-1)=-3(3-x)+6 equation:


Simplifying
9(x + -1) = -3(3 + -1x) + 6

Reorder the terms:
9(-1 + x) = -3(3 + -1x) + 6
(-1 * 9 + x * 9) = -3(3 + -1x) + 6
(-9 + 9x) = -3(3 + -1x) + 6
-9 + 9x = (3 * -3 + -1x * -3) + 6
-9 + 9x = (-9 + 3x) + 6

Reorder the terms:
-9 + 9x = -9 + 6 + 3x

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

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

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

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

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

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

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

Divide each side by '6'.
x = 1

Simplifying
x = 1

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