2(2-x)=4(x+10)

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Solution for 2(2-x)=4(x+10) equation:


Simplifying
2(2 + -1x) = 4(x + 10)
(2 * 2 + -1x * 2) = 4(x + 10)
(4 + -2x) = 4(x + 10)

Reorder the terms:
4 + -2x = 4(10 + x)
4 + -2x = (10 * 4 + x * 4)
4 + -2x = (40 + 4x)

Solving
4 + -2x = 40 + 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.
4 + -2x + -4x = 40 + 4x + -4x

Combine like terms: -2x + -4x = -6x
4 + -6x = 40 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + -6x = 40 + 0
4 + -6x = 40

Add '-4' to each side of the equation.
4 + -4 + -6x = 40 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = 40 + -4
-6x = 40 + -4

Combine like terms: 40 + -4 = 36
-6x = 36

Divide each side by '-6'.
x = -6

Simplifying
x = -6

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