((2x+11)+(3x+4))=((5x-10)+(4x-3))

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Solution for ((2x+11)+(3x+4))=((5x-10)+(4x-3)) equation: 


Simplifying
((2x + 11) + (3x + 4)) = ((5x + -10) + (4x + -3))

Reorder the terms:
((11 + 2x) + (3x + 4)) = ((5x + -10) + (4x + -3))

Remove parenthesis around (11 + 2x)
(11 + 2x + (3x + 4)) = ((5x + -10) + (4x + -3))

Reorder the terms:
(11 + 2x + (4 + 3x)) = ((5x + -10) + (4x + -3))

Remove parenthesis around (4 + 3x)
(11 + 2x + 4 + 3x) = ((5x + -10) + (4x + -3))

Reorder the terms:
(11 + 4 + 2x + 3x) = ((5x + -10) + (4x + -3))

Combine like terms: 11 + 4 = 15
(15 + 2x + 3x) = ((5x + -10) + (4x + -3))

Combine like terms: 2x + 3x = 5x
(15 + 5x) = ((5x + -10) + (4x + -3))

Remove parenthesis around (15 + 5x)
15 + 5x = ((5x + -10) + (4x + -3))

Reorder the terms:
15 + 5x = ((-10 + 5x) + (4x + -3))

Remove parenthesis around (-10 + 5x)
15 + 5x = (-10 + 5x + (4x + -3))

Reorder the terms:
15 + 5x = (-10 + 5x + (-3 + 4x))

Remove parenthesis around (-3 + 4x)
15 + 5x = (-10 + 5x + -3 + 4x)

Reorder the terms:
15 + 5x = (-10 + -3 + 5x + 4x)

Combine like terms: -10 + -3 = -13
15 + 5x = (-13 + 5x + 4x)

Combine like terms: 5x + 4x = 9x
15 + 5x = (-13 + 9x)

Remove parenthesis around (-13 + 9x)
15 + 5x = -13 + 9x

Solving
15 + 5x = -13 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
15 + 5x + -9x = -13 + 9x + -9x

Combine like terms: 5x + -9x = -4x
15 + -4x = -13 + 9x + -9x

Combine like terms: 9x + -9x = 0
15 + -4x = -13 + 0
15 + -4x = -13

Add '-15' to each side of the equation.
15 + -15 + -4x = -13 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = -13 + -15
-4x = -13 + -15

Combine like terms: -13 + -15 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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