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

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


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

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

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

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

Combine like terms: 8 + 24 = 32
32 + 4x + -6x = 8x

Combine like terms: 4x + -6x = -2x
32 + -2x = 8x

Solving
32 + -2x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
32 + -2x + -8x = 8x + -8x

Combine like terms: -2x + -8x = -10x
32 + -10x = 8x + -8x

Combine like terms: 8x + -8x = 0
32 + -10x = 0

Add '-32' to each side of the equation.
32 + -32 + -10x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -10x = 0 + -32
-10x = 0 + -32

Combine like terms: 0 + -32 = -32
-10x = -32

Divide each side by '-10'.
x = 3.2

Simplifying
x = 3.2

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