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

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Solution for 8-4(x-6)=2(2x-1) equation:


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

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

Combine like terms: 8 + 24 = 32
32 + -4x = 2(2x + -1)

Reorder the terms:
32 + -4x = 2(-1 + 2x)
32 + -4x = (-1 * 2 + 2x * 2)
32 + -4x = (-2 + 4x)

Solving
32 + -4x = -2 + 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.
32 + -4x + -4x = -2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
32 + -8x = -2 + 0
32 + -8x = -2

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

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

Combine like terms: -2 + -32 = -34
-8x = -34

Divide each side by '-8'.
x = 4.25

Simplifying
x = 4.25

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