4-2(x-5)=2x-16-16x

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Solution for 4-2(x-5)=2x-16-16x equation:


Simplifying
4 + -2(x + -5) = 2x + -16 + -16x

Reorder the terms:
4 + -2(-5 + x) = 2x + -16 + -16x
4 + (-5 * -2 + x * -2) = 2x + -16 + -16x
4 + (10 + -2x) = 2x + -16 + -16x

Combine like terms: 4 + 10 = 14
14 + -2x = 2x + -16 + -16x

Reorder the terms:
14 + -2x = -16 + 2x + -16x

Combine like terms: 2x + -16x = -14x
14 + -2x = -16 + -14x

Solving
14 + -2x = -16 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
14 + -2x + 14x = -16 + -14x + 14x

Combine like terms: -2x + 14x = 12x
14 + 12x = -16 + -14x + 14x

Combine like terms: -14x + 14x = 0
14 + 12x = -16 + 0
14 + 12x = -16

Add '-14' to each side of the equation.
14 + -14 + 12x = -16 + -14

Combine like terms: 14 + -14 = 0
0 + 12x = -16 + -14
12x = -16 + -14

Combine like terms: -16 + -14 = -30
12x = -30

Divide each side by '12'.
x = -2.5

Simplifying
x = -2.5

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