x+7-(9+2x)=6-[2x+3-5(x+3)]

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Solution for x+7-(9+2x)=6-[2x+3-5(x+3)] equation:


Simplifying
x + 7 + -1(9 + 2x) = 6 + -1[2x + 3 + -5(x + 3)]
x + 7 + (9 * -1 + 2x * -1) = 6 + -1[2x + 3 + -5(x + 3)]
x + 7 + (-9 + -2x) = 6 + -1[2x + 3 + -5(x + 3)]

Reorder the terms:
7 + -9 + x + -2x = 6 + -1[2x + 3 + -5(x + 3)]

Combine like terms: 7 + -9 = -2
-2 + x + -2x = 6 + -1[2x + 3 + -5(x + 3)]

Combine like terms: x + -2x = -1x
-2 + -1x = 6 + -1[2x + 3 + -5(x + 3)]

Reorder the terms:
-2 + -1x = 6 + -1[2x + 3 + -5(3 + x)]
-2 + -1x = 6 + -1[2x + 3 + (3 * -5 + x * -5)]
-2 + -1x = 6 + -1[2x + 3 + (-15 + -5x)]

Reorder the terms:
-2 + -1x = 6 + -1[3 + -15 + 2x + -5x]

Combine like terms: 3 + -15 = -12
-2 + -1x = 6 + -1[-12 + 2x + -5x]

Combine like terms: 2x + -5x = -3x
-2 + -1x = 6 + -1[-12 + -3x]
-2 + -1x = 6 + [-12 * -1 + -3x * -1]
-2 + -1x = 6 + [12 + 3x]

Combine like terms: 6 + 12 = 18
-2 + -1x = 18 + 3x

Solving
-2 + -1x = 18 + 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.
-2 + -1x + -3x = 18 + 3x + -3x

Combine like terms: -1x + -3x = -4x
-2 + -4x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -4x = 18 + 0
-2 + -4x = 18

Add '2' to each side of the equation.
-2 + 2 + -4x = 18 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = 18 + 2
-4x = 18 + 2

Combine like terms: 18 + 2 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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