4(x-4)=8x+2

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


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

Reorder the terms:
4(-4 + x) = 8x + 2
(-4 * 4 + x * 4) = 8x + 2
(-16 + 4x) = 8x + 2

Reorder the terms:
-16 + 4x = 2 + 8x

Solving
-16 + 4x = 2 + 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.
-16 + 4x + -8x = 2 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-16 + -4x = 2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-16 + -4x = 2 + 0
-16 + -4x = 2

Add '16' to each side of the equation.
-16 + 16 + -4x = 2 + 16

Combine like terms: -16 + 16 = 0
0 + -4x = 2 + 16
-4x = 2 + 16

Combine like terms: 2 + 16 = 18
-4x = 18

Divide each side by '-4'.
x = -4.5

Simplifying
x = -4.5

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