2x+4(x-5)=2(10-x)

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Solution for 2x+4(x-5)=2(10-x) equation:


Simplifying
2x + 4(x + -5) = 2(10 + -1x)

Reorder the terms:
2x + 4(-5 + x) = 2(10 + -1x)
2x + (-5 * 4 + x * 4) = 2(10 + -1x)
2x + (-20 + 4x) = 2(10 + -1x)

Reorder the terms:
-20 + 2x + 4x = 2(10 + -1x)

Combine like terms: 2x + 4x = 6x
-20 + 6x = 2(10 + -1x)
-20 + 6x = (10 * 2 + -1x * 2)
-20 + 6x = (20 + -2x)

Solving
-20 + 6x = 20 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-20 + 6x + 2x = 20 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-20 + 8x = 20 + -2x + 2x

Combine like terms: -2x + 2x = 0
-20 + 8x = 20 + 0
-20 + 8x = 20

Add '20' to each side of the equation.
-20 + 20 + 8x = 20 + 20

Combine like terms: -20 + 20 = 0
0 + 8x = 20 + 20
8x = 20 + 20

Combine like terms: 20 + 20 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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