5(x+10)=5-x

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Solution for 5(x+10)=5-x equation:


Simplifying
5(x + 10) = 5 + -1x

Reorder the terms:
5(10 + x) = 5 + -1x
(10 * 5 + x * 5) = 5 + -1x
(50 + 5x) = 5 + -1x

Solving
50 + 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.
50 + 5x + x = 5 + -1x + x

Combine like terms: 5x + x = 6x
50 + 6x = 5 + -1x + x

Combine like terms: -1x + x = 0
50 + 6x = 5 + 0
50 + 6x = 5

Add '-50' to each side of the equation.
50 + -50 + 6x = 5 + -50

Combine like terms: 50 + -50 = 0
0 + 6x = 5 + -50
6x = 5 + -50

Combine like terms: 5 + -50 = -45
6x = -45

Divide each side by '6'.
x = -7.5

Simplifying
x = -7.5

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