(2x+9)+(3x+6)=(6x-4)

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Solution for (2x+9)+(3x+6)=(6x-4) equation:


Simplifying
(2x + 9) + (3x + 6) = (6x + -4)

Reorder the terms:
(9 + 2x) + (3x + 6) = (6x + -4)

Remove parenthesis around (9 + 2x)
9 + 2x + (3x + 6) = (6x + -4)

Reorder the terms:
9 + 2x + (6 + 3x) = (6x + -4)

Remove parenthesis around (6 + 3x)
9 + 2x + 6 + 3x = (6x + -4)

Reorder the terms:
9 + 6 + 2x + 3x = (6x + -4)

Combine like terms: 9 + 6 = 15
15 + 2x + 3x = (6x + -4)

Combine like terms: 2x + 3x = 5x
15 + 5x = (6x + -4)

Reorder the terms:
15 + 5x = (-4 + 6x)

Remove parenthesis around (-4 + 6x)
15 + 5x = -4 + 6x

Solving
15 + 5x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + 5x + -6x = -4 + 6x + -6x

Combine like terms: 5x + -6x = -1x
15 + -1x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -1x = -4 + 0
15 + -1x = -4

Add '-15' to each side of the equation.
15 + -15 + -1x = -4 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = -4 + -15
-1x = -4 + -15

Combine like terms: -4 + -15 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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