11=5(x-2)-(x-5)

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Solution for 11=5(x-2)-(x-5) equation: 


Simplifying
11 = 5(x + -2) + -1(x + -5)

Reorder the terms:
11 = 5(-2 + x) + -1(x + -5)
11 = (-2 * 5 + x * 5) + -1(x + -5)
11 = (-10 + 5x) + -1(x + -5)

Reorder the terms:
11 = -10 + 5x + -1(-5 + x)
11 = -10 + 5x + (-5 * -1 + x * -1)
11 = -10 + 5x + (5 + -1x)

Reorder the terms:
11 = -10 + 5 + 5x + -1x

Combine like terms: -10 + 5 = -5
11 = -5 + 5x + -1x

Combine like terms: 5x + -1x = 4x
11 = -5 + 4x

Solving
11 = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
11 + -4x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + -4x = -5 + 0
11 + -4x = -5

Add '-11' to each side of the equation.
11 + -11 + -4x = -5 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = -5 + -11
-4x = -5 + -11

Combine like terms: -5 + -11 = -16
-4x = -16

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

Simplifying
x = 4

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