2x-8(x-4)=8x+6-7+4x

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Solution for 2x-8(x-4)=8x+6-7+4x equation:


Simplifying
2x + -8(x + -4) = 8x + 6 + -7 + 4x

Reorder the terms:
2x + -8(-4 + x) = 8x + 6 + -7 + 4x
2x + (-4 * -8 + x * -8) = 8x + 6 + -7 + 4x
2x + (32 + -8x) = 8x + 6 + -7 + 4x

Reorder the terms:
32 + 2x + -8x = 8x + 6 + -7 + 4x

Combine like terms: 2x + -8x = -6x
32 + -6x = 8x + 6 + -7 + 4x

Reorder the terms:
32 + -6x = 6 + -7 + 8x + 4x

Combine like terms: 6 + -7 = -1
32 + -6x = -1 + 8x + 4x

Combine like terms: 8x + 4x = 12x
32 + -6x = -1 + 12x

Solving
32 + -6x = -1 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
32 + -6x + -12x = -1 + 12x + -12x

Combine like terms: -6x + -12x = -18x
32 + -18x = -1 + 12x + -12x

Combine like terms: 12x + -12x = 0
32 + -18x = -1 + 0
32 + -18x = -1

Add '-32' to each side of the equation.
32 + -32 + -18x = -1 + -32

Combine like terms: 32 + -32 = 0
0 + -18x = -1 + -32
-18x = -1 + -32

Combine like terms: -1 + -32 = -33
-18x = -33

Divide each side by '-18'.
x = 1.833333333

Simplifying
x = 1.833333333

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