14x+(11x-19)-(13x-15)=25-(17-15x)

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Solution for 14x+(11x-19)-(13x-15)=25-(17-15x) equation:


Simplifying
14x + (11x + -19) + -1(13x + -15) = 25 + -1(17 + -15x)

Reorder the terms:
14x + (-19 + 11x) + -1(13x + -15) = 25 + -1(17 + -15x)

Remove parenthesis around (-19 + 11x)
14x + -19 + 11x + -1(13x + -15) = 25 + -1(17 + -15x)

Reorder the terms:
14x + -19 + 11x + -1(-15 + 13x) = 25 + -1(17 + -15x)
14x + -19 + 11x + (-15 * -1 + 13x * -1) = 25 + -1(17 + -15x)
14x + -19 + 11x + (15 + -13x) = 25 + -1(17 + -15x)

Reorder the terms:
-19 + 15 + 14x + 11x + -13x = 25 + -1(17 + -15x)

Combine like terms: -19 + 15 = -4
-4 + 14x + 11x + -13x = 25 + -1(17 + -15x)

Combine like terms: 14x + 11x = 25x
-4 + 25x + -13x = 25 + -1(17 + -15x)

Combine like terms: 25x + -13x = 12x
-4 + 12x = 25 + -1(17 + -15x)
-4 + 12x = 25 + (17 * -1 + -15x * -1)
-4 + 12x = 25 + (-17 + 15x)

Combine like terms: 25 + -17 = 8
-4 + 12x = 8 + 15x

Solving
-4 + 12x = 8 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-4 + 12x + -15x = 8 + 15x + -15x

Combine like terms: 12x + -15x = -3x
-4 + -3x = 8 + 15x + -15x

Combine like terms: 15x + -15x = 0
-4 + -3x = 8 + 0
-4 + -3x = 8

Add '4' to each side of the equation.
-4 + 4 + -3x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 8 + 4
-3x = 8 + 4

Combine like terms: 8 + 4 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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