6(x+4)=3-2x

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Solution for 6(x+4)=3-2x equation:


Simplifying
6(x + 4) = 3 + -2x

Reorder the terms:
6(4 + x) = 3 + -2x
(4 * 6 + x * 6) = 3 + -2x
(24 + 6x) = 3 + -2x

Solving
24 + 6x = 3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
24 + 6x + 2x = 3 + -2x + 2x

Combine like terms: 6x + 2x = 8x
24 + 8x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
24 + 8x = 3 + 0
24 + 8x = 3

Add '-24' to each side of the equation.
24 + -24 + 8x = 3 + -24

Combine like terms: 24 + -24 = 0
0 + 8x = 3 + -24
8x = 3 + -24

Combine like terms: 3 + -24 = -21
8x = -21

Divide each side by '8'.
x = -2.625

Simplifying
x = -2.625

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