4(x+5)+(x-3)=5-x

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Solution for 4(x+5)+(x-3)=5-x equation:


Simplifying
4(x + 5) + (x + -3) = 5 + -1x

Reorder the terms:
4(5 + x) + (x + -3) = 5 + -1x
(5 * 4 + x * 4) + (x + -3) = 5 + -1x
(20 + 4x) + (x + -3) = 5 + -1x

Reorder the terms:
20 + 4x + (-3 + x) = 5 + -1x

Remove parenthesis around (-3 + x)
20 + 4x + -3 + x = 5 + -1x

Reorder the terms:
20 + -3 + 4x + x = 5 + -1x

Combine like terms: 20 + -3 = 17
17 + 4x + x = 5 + -1x

Combine like terms: 4x + x = 5x
17 + 5x = 5 + -1x

Solving
17 + 5x = 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.
17 + 5x + x = 5 + -1x + x

Combine like terms: 5x + x = 6x
17 + 6x = 5 + -1x + x

Combine like terms: -1x + x = 0
17 + 6x = 5 + 0
17 + 6x = 5

Add '-17' to each side of the equation.
17 + -17 + 6x = 5 + -17

Combine like terms: 17 + -17 = 0
0 + 6x = 5 + -17
6x = 5 + -17

Combine like terms: 5 + -17 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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