4(x+4)=6-x

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Solution for 4(x+4)=6-x equation:


Simplifying
4(x + 4) = 6 + -1x

Reorder the terms:
4(4 + x) = 6 + -1x
(4 * 4 + x * 4) = 6 + -1x
(16 + 4x) = 6 + -1x

Solving
16 + 4x = 6 + -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.
16 + 4x + x = 6 + -1x + x

Combine like terms: 4x + x = 5x
16 + 5x = 6 + -1x + x

Combine like terms: -1x + x = 0
16 + 5x = 6 + 0
16 + 5x = 6

Add '-16' to each side of the equation.
16 + -16 + 5x = 6 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = 6 + -16
5x = 6 + -16

Combine like terms: 6 + -16 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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