3(3x-1)-2(x-6)=23

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Solution for 3(3x-1)-2(x-6)=23 equation:


Simplifying
3(3x + -1) + -2(x + -6) = 23

Reorder the terms:
3(-1 + 3x) + -2(x + -6) = 23
(-1 * 3 + 3x * 3) + -2(x + -6) = 23
(-3 + 9x) + -2(x + -6) = 23

Reorder the terms:
-3 + 9x + -2(-6 + x) = 23
-3 + 9x + (-6 * -2 + x * -2) = 23
-3 + 9x + (12 + -2x) = 23

Reorder the terms:
-3 + 12 + 9x + -2x = 23

Combine like terms: -3 + 12 = 9
9 + 9x + -2x = 23

Combine like terms: 9x + -2x = 7x
9 + 7x = 23

Solving
9 + 7x = 23

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 7x = 23 + -9

Combine like terms: 9 + -9 = 0
0 + 7x = 23 + -9
7x = 23 + -9

Combine like terms: 23 + -9 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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