-[x-5]=4[x-5]

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Solution for -[x-5]=4[x-5] equation:


Simplifying
-1[x + -5] = 4[x + -5]

Reorder the terms:
-1[-5 + x] = 4[x + -5]
[-5 * -1 + x * -1] = 4[x + -5]
[5 + -1x] = 4[x + -5]

Reorder the terms:
5 + -1x = 4[-5 + x]
5 + -1x = [-5 * 4 + x * 4]
5 + -1x = [-20 + 4x]

Solving
5 + -1x = -20 + 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.
5 + -1x + -4x = -20 + 4x + -4x

Combine like terms: -1x + -4x = -5x
5 + -5x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -5x = -20 + 0
5 + -5x = -20

Add '-5' to each side of the equation.
5 + -5 + -5x = -20 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = -20 + -5
-5x = -20 + -5

Combine like terms: -20 + -5 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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