6-(3x)-9=2(5-x)

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Solution for 6-(3x)-9=2(5-x) equation:


Simplifying
6 + -1(3x) + -9 = 2(5 + -1x)

Remove parenthesis around (3x)
6 + -1 * 3x + -9 = 2(5 + -1x)

Multiply -1 * 3
6 + -3x + -9 = 2(5 + -1x)

Reorder the terms:
6 + -9 + -3x = 2(5 + -1x)

Combine like terms: 6 + -9 = -3
-3 + -3x = 2(5 + -1x)
-3 + -3x = (5 * 2 + -1x * 2)
-3 + -3x = (10 + -2x)

Solving
-3 + -3x = 10 + -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.
-3 + -3x + 2x = 10 + -2x + 2x

Combine like terms: -3x + 2x = -1x
-3 + -1x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + -1x = 10 + 0
-3 + -1x = 10

Add '3' to each side of the equation.
-3 + 3 + -1x = 10 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 10 + 3
-1x = 10 + 3

Combine like terms: 10 + 3 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

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