11x+(3x-5)=7x-(x+13)-1

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Solution for 11x+(3x-5)=7x-(x+13)-1 equation:


Simplifying
11x + (3x + -5) = 7x + -1(x + 13) + -1

Reorder the terms:
11x + (-5 + 3x) = 7x + -1(x + 13) + -1

Remove parenthesis around (-5 + 3x)
11x + -5 + 3x = 7x + -1(x + 13) + -1

Reorder the terms:
-5 + 11x + 3x = 7x + -1(x + 13) + -1

Combine like terms: 11x + 3x = 14x
-5 + 14x = 7x + -1(x + 13) + -1

Reorder the terms:
-5 + 14x = 7x + -1(13 + x) + -1
-5 + 14x = 7x + (13 * -1 + x * -1) + -1
-5 + 14x = 7x + (-13 + -1x) + -1

Reorder the terms:
-5 + 14x = -13 + -1 + 7x + -1x

Combine like terms: -13 + -1 = -14
-5 + 14x = -14 + 7x + -1x

Combine like terms: 7x + -1x = 6x
-5 + 14x = -14 + 6x

Solving
-5 + 14x = -14 + 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.
-5 + 14x + -6x = -14 + 6x + -6x

Combine like terms: 14x + -6x = 8x
-5 + 8x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + 8x = -14 + 0
-5 + 8x = -14

Add '5' to each side of the equation.
-5 + 5 + 8x = -14 + 5

Combine like terms: -5 + 5 = 0
0 + 8x = -14 + 5
8x = -14 + 5

Combine like terms: -14 + 5 = -9
8x = -9

Divide each side by '8'.
x = -1.125

Simplifying
x = -1.125

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