2x+8(1-x)=20+x

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Solution for 2x+8(1-x)=20+x equation:


Simplifying
2x + 8(1 + -1x) = 20 + x
2x + (1 * 8 + -1x * 8) = 20 + x
2x + (8 + -8x) = 20 + x

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

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

Solving
8 + -6x = 20 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + -6x + -1x = 20 + x + -1x

Combine like terms: -6x + -1x = -7x
8 + -7x = 20 + x + -1x

Combine like terms: x + -1x = 0
8 + -7x = 20 + 0
8 + -7x = 20

Add '-8' to each side of the equation.
8 + -8 + -7x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 20 + -8
-7x = 20 + -8

Combine like terms: 20 + -8 = 12
-7x = 12

Divide each side by '-7'.
x = -1.714285714

Simplifying
x = -1.714285714

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