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

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


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

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

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

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

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

Combine like terms: 8x + -8x = 0
-8 + -6x = 4 + 0
-8 + -6x = 4

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

Combine like terms: -8 + 8 = 0
0 + -6x = 4 + 8
-6x = 4 + 8

Combine like terms: 4 + 8 = 12
-6x = 12

Divide each side by '-6'.
x = -2

Simplifying
x = -2

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