7-5(2-x)=(x-8)

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Solution for 7-5(2-x)=(x-8) equation:


Simplifying
7 + -5(2 + -1x) = (x + -8)
7 + (2 * -5 + -1x * -5) = (x + -8)
7 + (-10 + 5x) = (x + -8)

Combine like terms: 7 + -10 = -3
-3 + 5x = (x + -8)

Reorder the terms:
-3 + 5x = (-8 + x)

Remove parenthesis around (-8 + x)
-3 + 5x = -8 + x

Solving
-3 + 5x = -8 + 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.
-3 + 5x + -1x = -8 + x + -1x

Combine like terms: 5x + -1x = 4x
-3 + 4x = -8 + x + -1x

Combine like terms: x + -1x = 0
-3 + 4x = -8 + 0
-3 + 4x = -8

Add '3' to each side of the equation.
-3 + 3 + 4x = -8 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = -8 + 3
4x = -8 + 3

Combine like terms: -8 + 3 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25

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