x+(2x+9)-6=5x-(3+2)

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


Simplifying
x + (2x + 9) + -6 = 5x + -1(3 + 2)

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

Remove parenthesis around (9 + 2x)
x + 9 + 2x + -6 = 5x + -1(3 + 2)

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

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

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

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

Multiply -1 * 5
3 + 3x = 5x + -5

Reorder the terms:
3 + 3x = -5 + 5x

Solving
3 + 3x = -5 + 5x

Solving for variable 'x'.

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

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

Combine like terms: 3x + -5x = -2x
3 + -2x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -2x = -5 + 0
3 + -2x = -5

Add '-3' to each side of the equation.
3 + -3 + -2x = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -5 + -3
-2x = -5 + -3

Combine like terms: -5 + -3 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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