9x-6(x-2)=6+x+20

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Solution for 9x-6(x-2)=6+x+20 equation:


Simplifying
9x + -6(x + -2) = 6 + x + 20

Reorder the terms:
9x + -6(-2 + x) = 6 + x + 20
9x + (-2 * -6 + x * -6) = 6 + x + 20
9x + (12 + -6x) = 6 + x + 20

Reorder the terms:
12 + 9x + -6x = 6 + x + 20

Combine like terms: 9x + -6x = 3x
12 + 3x = 6 + x + 20

Reorder the terms:
12 + 3x = 6 + 20 + x

Combine like terms: 6 + 20 = 26
12 + 3x = 26 + x

Solving
12 + 3x = 26 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + 3x + -1x = 26 + x + -1x

Combine like terms: 3x + -1x = 2x
12 + 2x = 26 + x + -1x

Combine like terms: x + -1x = 0
12 + 2x = 26 + 0
12 + 2x = 26

Add '-12' to each side of the equation.
12 + -12 + 2x = 26 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 26 + -12
2x = 26 + -12

Combine like terms: 26 + -12 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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