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

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


Simplifying
6(x + 4) + -1(2x + -8) = 0

Reorder the terms:
6(4 + x) + -1(2x + -8) = 0
(4 * 6 + x * 6) + -1(2x + -8) = 0
(24 + 6x) + -1(2x + -8) = 0

Reorder the terms:
24 + 6x + -1(-8 + 2x) = 0
24 + 6x + (-8 * -1 + 2x * -1) = 0
24 + 6x + (8 + -2x) = 0

Reorder the terms:
24 + 8 + 6x + -2x = 0

Combine like terms: 24 + 8 = 32
32 + 6x + -2x = 0

Combine like terms: 6x + -2x = 4x
32 + 4x = 0

Solving
32 + 4x = 0

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + 4x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 4x = 0 + -32
4x = 0 + -32

Combine like terms: 0 + -32 = -32
4x = -32

Divide each side by '4'.
x = -8

Simplifying
x = -8

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