(2x-6)-(9-3x)=20

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Solution for (2x-6)-(9-3x)=20 equation:


Simplifying
(2x + -6) + -1(9 + -3x) = 20

Reorder the terms:
(-6 + 2x) + -1(9 + -3x) = 20

Remove parenthesis around (-6 + 2x)
-6 + 2x + -1(9 + -3x) = 20
-6 + 2x + (9 * -1 + -3x * -1) = 20
-6 + 2x + (-9 + 3x) = 20

Reorder the terms:
-6 + -9 + 2x + 3x = 20

Combine like terms: -6 + -9 = -15
-15 + 2x + 3x = 20

Combine like terms: 2x + 3x = 5x
-15 + 5x = 20

Solving
-15 + 5x = 20

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 5x = 20 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 20 + 15
5x = 20 + 15

Combine like terms: 20 + 15 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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