6(2x+4)=32-x

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Solution for 6(2x+4)=32-x equation:


Simplifying
6(2x + 4) = 32 + -1x

Reorder the terms:
6(4 + 2x) = 32 + -1x
(4 * 6 + 2x * 6) = 32 + -1x
(24 + 12x) = 32 + -1x

Solving
24 + 12x = 32 + -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.
24 + 12x + x = 32 + -1x + x

Combine like terms: 12x + x = 13x
24 + 13x = 32 + -1x + x

Combine like terms: -1x + x = 0
24 + 13x = 32 + 0
24 + 13x = 32

Add '-24' to each side of the equation.
24 + -24 + 13x = 32 + -24

Combine like terms: 24 + -24 = 0
0 + 13x = 32 + -24
13x = 32 + -24

Combine like terms: 32 + -24 = 8
13x = 8

Divide each side by '13'.
x = 0.6153846154

Simplifying
x = 0.6153846154

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