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

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


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

Reorder the terms:
4(-5 + x) = (5 + -1x) * 4
(-5 * 4 + x * 4) = (5 + -1x) * 4
(-20 + 4x) = (5 + -1x) * 4

Reorder the terms for easier multiplication:
-20 + 4x = 4(5 + -1x)
-20 + 4x = (5 * 4 + -1x * 4)
-20 + 4x = (20 + -4x)

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

Combine like terms: 4x + 4x = 8x
-20 + 8x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
-20 + 8x = 20 + 0
-20 + 8x = 20

Add '20' to each side of the equation.
-20 + 20 + 8x = 20 + 20

Combine like terms: -20 + 20 = 0
0 + 8x = 20 + 20
8x = 20 + 20

Combine like terms: 20 + 20 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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