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

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Solution for 10-5(x-1)=5-x equation: 


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

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

Combine like terms: 10 + 5 = 15
15 + -5x = 5 + -1x

Solving
15 + -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.
15 + -5x + x = 5 + -1x + x

Combine like terms: -5x + x = -4x
15 + -4x = 5 + -1x + x

Combine like terms: -1x + x = 0
15 + -4x = 5 + 0
15 + -4x = 5

Add '-15' to each side of the equation.
15 + -15 + -4x = 5 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = 5 + -15
-4x = 5 + -15

Combine like terms: 5 + -15 = -10
-4x = -10

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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