x-4=5(x+4)

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


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

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

Reorder the terms:
-4 + x = 5(4 + x)
-4 + x = (4 * 5 + x * 5)
-4 + x = (20 + 5x)

Solving
-4 + x = 20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-4 + x + -5x = 20 + 5x + -5x

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

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

Add '4' to each side of the equation.
-4 + 4 + -4x = 20 + 4

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

Combine like terms: 20 + 4 = 24
-4x = 24

Divide each side by '-4'.
x = -6

Simplifying
x = -6

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