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

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


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

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

Reorder the terms:
-9 + 2x = 6x + 7(-6 + x)
-9 + 2x = 6x + (-6 * 7 + x * 7)
-9 + 2x = 6x + (-42 + 7x)

Reorder the terms:
-9 + 2x = -42 + 6x + 7x

Combine like terms: 6x + 7x = 13x
-9 + 2x = -42 + 13x

Solving
-9 + 2x = -42 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-9 + 2x + -13x = -42 + 13x + -13x

Combine like terms: 2x + -13x = -11x
-9 + -11x = -42 + 13x + -13x

Combine like terms: 13x + -13x = 0
-9 + -11x = -42 + 0
-9 + -11x = -42

Add '9' to each side of the equation.
-9 + 9 + -11x = -42 + 9

Combine like terms: -9 + 9 = 0
0 + -11x = -42 + 9
-11x = -42 + 9

Combine like terms: -42 + 9 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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