x-8+2(7+x)=20-4x

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Solution for x-8+2(7+x)=20-4x equation:


Simplifying
x + -8 + 2(7 + x) = 20 + -4x
x + -8 + (7 * 2 + x * 2) = 20 + -4x
x + -8 + (14 + 2x) = 20 + -4x

Reorder the terms:
-8 + 14 + x + 2x = 20 + -4x

Combine like terms: -8 + 14 = 6
6 + x + 2x = 20 + -4x

Combine like terms: x + 2x = 3x
6 + 3x = 20 + -4x

Solving
6 + 3x = 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.
6 + 3x + 4x = 20 + -4x + 4x

Combine like terms: 3x + 4x = 7x
6 + 7x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 7x = 20 + 0
6 + 7x = 20

Add '-6' to each side of the equation.
6 + -6 + 7x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 20 + -6
7x = 20 + -6

Combine like terms: 20 + -6 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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