-5=4(x-4)-(x-5)

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Solution for -5=4(x-4)-(x-5) equation:


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

Reorder the terms:
-5 = 4(-4 + x) + -1(x + -5)
-5 = (-4 * 4 + x * 4) + -1(x + -5)
-5 = (-16 + 4x) + -1(x + -5)

Reorder the terms:
-5 = -16 + 4x + -1(-5 + x)
-5 = -16 + 4x + (-5 * -1 + x * -1)
-5 = -16 + 4x + (5 + -1x)

Reorder the terms:
-5 = -16 + 5 + 4x + -1x

Combine like terms: -16 + 5 = -11
-5 = -11 + 4x + -1x

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

Solving
-5 = -11 + 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.
-5 + -3x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + -3x = -11 + 0
-5 + -3x = -11

Add '5' to each side of the equation.
-5 + 5 + -3x = -11 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = -11 + 5
-3x = -11 + 5

Combine like terms: -11 + 5 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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