7(x+4)=20-x

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


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

Reorder the terms:
7(4 + x) = 20 + -1x
(4 * 7 + x * 7) = 20 + -1x
(28 + 7x) = 20 + -1x

Solving
28 + 7x = 20 + -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.
28 + 7x + x = 20 + -1x + x

Combine like terms: 7x + x = 8x
28 + 8x = 20 + -1x + x

Combine like terms: -1x + x = 0
28 + 8x = 20 + 0
28 + 8x = 20

Add '-28' to each side of the equation.
28 + -28 + 8x = 20 + -28

Combine like terms: 28 + -28 = 0
0 + 8x = 20 + -28
8x = 20 + -28

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

Divide each side by '8'.
x = -1

Simplifying
x = -1

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