(x+4)-(3x+5)=(x+9)+(6-x)

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Solution for (x+4)-(3x+5)=(x+9)+(6-x) equation:


Simplifying
(x + 4) + -1(3x + 5) = (x + 9) + (6 + -1x)

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

Remove parenthesis around (4 + x)
4 + x + -1(3x + 5) = (x + 9) + (6 + -1x)

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

Reorder the terms:
4 + -5 + x + -3x = (x + 9) + (6 + -1x)

Combine like terms: 4 + -5 = -1
-1 + x + -3x = (x + 9) + (6 + -1x)

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

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

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

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

Reorder the terms:
-1 + -2x = 9 + 6 + x + -1x

Combine like terms: 9 + 6 = 15
-1 + -2x = 15 + x + -1x

Combine like terms: x + -1x = 0
-1 + -2x = 15 + 0
-1 + -2x = 15

Solving
-1 + -2x = 15

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -2x = 15 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 15 + 1
-2x = 15 + 1

Combine like terms: 15 + 1 = 16
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

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