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

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Solution for 6(x+4)=1(x-2) equation:


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

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

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

Solving
24 + 6x = -2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
24 + 6x + -1x = -2 + 1x + -1x

Combine like terms: 6x + -1x = 5x
24 + 5x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
24 + 5x = -2 + 0
24 + 5x = -2

Add '-24' to each side of the equation.
24 + -24 + 5x = -2 + -24

Combine like terms: 24 + -24 = 0
0 + 5x = -2 + -24
5x = -2 + -24

Combine like terms: -2 + -24 = -26
5x = -26

Divide each side by '5'.
x = -5.2

Simplifying
x = -5.2

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