(x+4)+(2x+11)=(4x-4)

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


Simplifying
(x + 4) + (2x + 11) = (4x + -4)

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

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

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

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

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

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

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

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

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

Solving
15 + 3x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + 3x + -4x = -4 + 4x + -4x

Combine like terms: 3x + -4x = -1x
15 + -1x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 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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