4(x+5)=5-x

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


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

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

Solving
20 + 4x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
20 + 4x + x = 5 + -1x + x

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

Combine like terms: -1x + x = 0
20 + 5x = 5 + 0
20 + 5x = 5

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

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

Combine like terms: 5 + -20 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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