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

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Solution for 1=4(x-4)-(x-5) equation:


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

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

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

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

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

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

Solving
1 = -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.
1 + -3x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + -3x = -11 + 0
1 + -3x = -11

Add '-1' to each side of the equation.
1 + -1 + -3x = -11 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = -11 + -1
-3x = -11 + -1

Combine like terms: -11 + -1 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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