6(x+4)=4(2x-x)+8

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Solution for 6(x+4)=4(2x-x)+8 equation:


Simplifying
6(x + 4) = 4(2x + -1x) + 8

Reorder the terms:
6(4 + x) = 4(2x + -1x) + 8
(4 * 6 + x * 6) = 4(2x + -1x) + 8
(24 + 6x) = 4(2x + -1x) + 8

Combine like terms: 2x + -1x = 1x
24 + 6x = 4(1x) + 8

Remove parenthesis around (1x)
24 + 6x = 4 * 1x + 8

Multiply 4 * 1
24 + 6x = 4x + 8

Reorder the terms:
24 + 6x = 8 + 4x

Solving
24 + 6x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
24 + 6x + -4x = 8 + 4x + -4x

Combine like terms: 6x + -4x = 2x
24 + 2x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + 2x = 8 + 0
24 + 2x = 8

Add '-24' to each side of the equation.
24 + -24 + 2x = 8 + -24

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

Combine like terms: 8 + -24 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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