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 = 16
16 + -1x = 4(3x + -4)

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

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

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

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

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

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

Combine like terms: -16 + -16 = -32
-13x = -32

Divide each side by '-13'.
x = 2.461538462

Simplifying
x = 2.461538462

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