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

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


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

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

Reorder the terms:
-9 + 18 + 7x + -3x = 2x

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

Combine like terms: 7x + -3x = 4x
9 + 4x = 2x

Solving
9 + 4x = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9 + 4x + -2x = 2x + -2x

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

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

Add '-9' to each side of the equation.
9 + -9 + 2x = 0 + -9

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

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

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5

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