3(3x-2)-7(x-2)=0

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Solution for 3(3x-2)-7(x-2)=0 equation:


Simplifying
3(3x + -2) + -7(x + -2) = 0

Reorder the terms:
3(-2 + 3x) + -7(x + -2) = 0
(-2 * 3 + 3x * 3) + -7(x + -2) = 0
(-6 + 9x) + -7(x + -2) = 0

Reorder the terms:
-6 + 9x + -7(-2 + x) = 0
-6 + 9x + (-2 * -7 + x * -7) = 0
-6 + 9x + (14 + -7x) = 0

Reorder the terms:
-6 + 14 + 9x + -7x = 0

Combine like terms: -6 + 14 = 8
8 + 9x + -7x = 0

Combine like terms: 9x + -7x = 2x
8 + 2x = 0

Solving
8 + 2x = 0

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 2x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 0 + -8
2x = 0 + -8

Combine like terms: 0 + -8 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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