9x-6(x-3)=7x-2x

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Solution for 9x-6(x-3)=7x-2x equation:


Simplifying
9x + -6(x + -3) = 7x + -2x

Reorder the terms:
9x + -6(-3 + x) = 7x + -2x
9x + (-3 * -6 + x * -6) = 7x + -2x
9x + (18 + -6x) = 7x + -2x

Reorder the terms:
18 + 9x + -6x = 7x + -2x

Combine like terms: 9x + -6x = 3x
18 + 3x = 7x + -2x

Combine like terms: 7x + -2x = 5x
18 + 3x = 5x

Solving
18 + 3x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
18 + 3x + -5x = 5x + -5x

Combine like terms: 3x + -5x = -2x
18 + -2x = 5x + -5x

Combine like terms: 5x + -5x = 0
18 + -2x = 0

Add '-18' to each side of the equation.
18 + -18 + -2x = 0 + -18

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

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

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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