-5x-5(2-x)=(x-7)

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Solution for -5x-5(2-x)=(x-7) equation:


Simplifying
-5x + -5(2 + -1x) = (x + -7)
-5x + (2 * -5 + -1x * -5) = (x + -7)
-5x + (-10 + 5x) = (x + -7)

Reorder the terms:
-10 + -5x + 5x = (x + -7)

Combine like terms: -5x + 5x = 0
-10 + 0 = (x + -7)
-10 = (x + -7)

Reorder the terms:
-10 = (-7 + x)

Remove parenthesis around (-7 + x)
-10 = -7 + x

Solving
-10 = -7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + -1x = -7 + x + -1x

Combine like terms: x + -1x = 0
-10 + -1x = -7 + 0
-10 + -1x = -7

Add '10' to each side of the equation.
-10 + 10 + -1x = -7 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -7 + 10
-1x = -7 + 10

Combine like terms: -7 + 10 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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