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

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


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

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

Combine like terms: 9 + 6 = 15
15 + -1x = (3x + 5)

Reorder the terms:
15 + -1x = (5 + 3x)

Remove parenthesis around (5 + 3x)
15 + -1x = 5 + 3x

Solving
15 + -1x = 5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + -1x + -3x = 5 + 3x + -3x

Combine like terms: -1x + -3x = -4x
15 + -4x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -4x = 5 + 0
15 + -4x = 5

Add '-15' to each side of the equation.
15 + -15 + -4x = 5 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = 5 + -15
-4x = 5 + -15

Combine like terms: 5 + -15 = -10
-4x = -10

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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