5-2x=-4(x-5)

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Solution for 5-2x=-4(x-5) equation:


Simplifying
5 + -2x = -4(x + -5)

Reorder the terms:
5 + -2x = -4(-5 + x)
5 + -2x = (-5 * -4 + x * -4)
5 + -2x = (20 + -4x)

Solving
5 + -2x = 20 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
5 + -2x + 4x = 20 + -4x + 4x

Combine like terms: -2x + 4x = 2x
5 + 2x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
5 + 2x = 20 + 0
5 + 2x = 20

Add '-5' to each side of the equation.
5 + -5 + 2x = 20 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 20 + -5
2x = 20 + -5

Combine like terms: 20 + -5 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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