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

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


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

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

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

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

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

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

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1 + -3x + x = 21 + -1x + x

Combine like terms: -3x + x = -2x
1 + -2x = 21 + -1x + x

Combine like terms: -1x + x = 0
1 + -2x = 21 + 0
1 + -2x = 21

Add '-1' to each side of the equation.
1 + -1 + -2x = 21 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 21 + -1
-2x = 21 + -1

Combine like terms: 21 + -1 = 20
-2x = 20

Divide each side by '-2'.
x = -10

Simplifying
x = -10

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