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

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Solution for 15-(x-6)=(3x+5) equation:


Simplifying
15 + -1(x + -6) = (3x + 5)

Reorder the terms:
15 + -1(-6 + x) = (3x + 5)
15 + (-6 * -1 + x * -1) = (3x + 5)
15 + (6 + -1x) = (3x + 5)

Combine like terms: 15 + 6 = 21
21 + -1x = (3x + 5)

Reorder the terms:
21 + -1x = (5 + 3x)

Remove parenthesis around (5 + 3x)
21 + -1x = 5 + 3x

Solving
21 + -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.
21 + -1x + -3x = 5 + 3x + -3x

Combine like terms: -1x + -3x = -4x
21 + -4x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + -4x = 5 + 0
21 + -4x = 5

Add '-21' to each side of the equation.
21 + -21 + -4x = 5 + -21

Combine like terms: 21 + -21 = 0
0 + -4x = 5 + -21
-4x = 5 + -21

Combine like terms: 5 + -21 = -16
-4x = -16

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

Simplifying
x = 4

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