3(3x-2)-2(x-2)=18

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Solution for 3(3x-2)-2(x-2)=18 equation:


Simplifying
3(3x + -2) + -2(x + -2) = 18

Reorder the terms:
3(-2 + 3x) + -2(x + -2) = 18
(-2 * 3 + 3x * 3) + -2(x + -2) = 18
(-6 + 9x) + -2(x + -2) = 18

Reorder the terms:
-6 + 9x + -2(-2 + x) = 18
-6 + 9x + (-2 * -2 + x * -2) = 18
-6 + 9x + (4 + -2x) = 18

Reorder the terms:
-6 + 4 + 9x + -2x = 18

Combine like terms: -6 + 4 = -2
-2 + 9x + -2x = 18

Combine like terms: 9x + -2x = 7x
-2 + 7x = 18

Solving
-2 + 7x = 18

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 7x = 18 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 18 + 2
7x = 18 + 2

Combine like terms: 18 + 2 = 20
7x = 20

Divide each side by '7'.
x = 2.857142857

Simplifying
x = 2.857142857

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