11=4(x-4)-(x-6)

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Solution for 11=4(x-4)-(x-6) equation: 


Simplifying
11 = 4(x + -4) + -1(x + -6)

Reorder the terms:
11 = 4(-4 + x) + -1(x + -6)
11 = (-4 * 4 + x * 4) + -1(x + -6)
11 = (-16 + 4x) + -1(x + -6)

Reorder the terms:
11 = -16 + 4x + -1(-6 + x)
11 = -16 + 4x + (-6 * -1 + x * -1)
11 = -16 + 4x + (6 + -1x)

Reorder the terms:
11 = -16 + 6 + 4x + -1x

Combine like terms: -16 + 6 = -10
11 = -10 + 4x + -1x

Combine like terms: 4x + -1x = 3x
11 = -10 + 3x

Solving
11 = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
11 + -3x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -3x = -10 + 0
11 + -3x = -10

Add '-11' to each side of the equation.
11 + -11 + -3x = -10 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = -10 + -11
-3x = -10 + -11

Combine like terms: -10 + -11 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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