2(x+4)-7x=28-x

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Solution for 2(x+4)-7x=28-x equation:


Simplifying
2(x + 4) + -7x = 28 + -1x

Reorder the terms:
2(4 + x) + -7x = 28 + -1x
(4 * 2 + x * 2) + -7x = 28 + -1x
(8 + 2x) + -7x = 28 + -1x

Combine like terms: 2x + -7x = -5x
8 + -5x = 28 + -1x

Solving
8 + -5x = 28 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
8 + -5x + x = 28 + -1x + x

Combine like terms: -5x + x = -4x
8 + -4x = 28 + -1x + x

Combine like terms: -1x + x = 0
8 + -4x = 28 + 0
8 + -4x = 28

Add '-8' to each side of the equation.
8 + -8 + -4x = 28 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = 28 + -8
-4x = 28 + -8

Combine like terms: 28 + -8 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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