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

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

Simplifying
2(3x + -2) + -1(x + -3) = 9
Reorder the terms:
2(-2 + 3x) + -1(x + -3) = 9
(-2 * 2 + 3x * 2) + -1(x + -3) = 9
(-4 + 6x) + -1(x + -3) = 9
Reorder the terms:
-4 + 6x + -1(-3 + x) = 9
-4 + 6x + (-3 * -1 + x * -1) = 9
-4 + 6x + (3 + -1x) = 9
Reorder the terms:
-4 + 3 + 6x + -1x = 9
Combine like terms: -4 + 3 = -1
-1 + 6x + -1x = 9
Combine like terms: 6x + -1x = 5x
-1 + 5x = 9
Solving
-1 + 5x = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 5x = 9 + 1
Combine like terms: -1 + 1 = 0
0 + 5x = 9 + 1
5x = 9 + 1
Combine like terms: 9 + 1 = 10
5x = 10
Divide each side by '5'.
x = 2
Simplifying
x = 2`