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

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


Simplifying
11 + -1(x + 5) = 4(3x + -4)

Reorder the terms:
11 + -1(5 + x) = 4(3x + -4)
11 + (5 * -1 + x * -1) = 4(3x + -4)
11 + (-5 + -1x) = 4(3x + -4)

Combine like terms: 11 + -5 = 6
6 + -1x = 4(3x + -4)

Reorder the terms:
6 + -1x = 4(-4 + 3x)
6 + -1x = (-4 * 4 + 3x * 4)
6 + -1x = (-16 + 12x)

Solving
6 + -1x = -16 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
6 + -1x + -12x = -16 + 12x + -12x

Combine like terms: -1x + -12x = -13x
6 + -13x = -16 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -13x = -16 + 0
6 + -13x = -16

Add '-6' to each side of the equation.
6 + -6 + -13x = -16 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = -16 + -6
-13x = -16 + -6

Combine like terms: -16 + -6 = -22
-13x = -22

Divide each side by '-13'.
x = 1.692307692

Simplifying
x = 1.692307692

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