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

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


Simplifying
2(x + 4) = 7x + -1x + 20

Reorder the terms:
2(4 + x) = 7x + -1x + 20
(4 * 2 + x * 2) = 7x + -1x + 20
(8 + 2x) = 7x + -1x + 20

Reorder the terms:
8 + 2x = 20 + 7x + -1x

Combine like terms: 7x + -1x = 6x
8 + 2x = 20 + 6x

Solving
8 + 2x = 20 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 2x + -6x = 20 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
8 + -4x = 20 + 0
8 + -4x = 20

Add '-8' to each side of the equation.
8 + -8 + -4x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = 20 + -8
-4x = 20 + -8

Combine like terms: 20 + -8 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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