3-8(x-6)+2x=6-2(x-1)

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Solution for 3-8(x-6)+2x=6-2(x-1) equation:


Simplifying
3 + -8(x + -6) + 2x = 6 + -2(x + -1)

Reorder the terms:
3 + -8(-6 + x) + 2x = 6 + -2(x + -1)
3 + (-6 * -8 + x * -8) + 2x = 6 + -2(x + -1)
3 + (48 + -8x) + 2x = 6 + -2(x + -1)

Combine like terms: 3 + 48 = 51
51 + -8x + 2x = 6 + -2(x + -1)

Combine like terms: -8x + 2x = -6x
51 + -6x = 6 + -2(x + -1)

Reorder the terms:
51 + -6x = 6 + -2(-1 + x)
51 + -6x = 6 + (-1 * -2 + x * -2)
51 + -6x = 6 + (2 + -2x)

Combine like terms: 6 + 2 = 8
51 + -6x = 8 + -2x

Solving
51 + -6x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
51 + -6x + 2x = 8 + -2x + 2x

Combine like terms: -6x + 2x = -4x
51 + -4x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
51 + -4x = 8 + 0
51 + -4x = 8

Add '-51' to each side of the equation.
51 + -51 + -4x = 8 + -51

Combine like terms: 51 + -51 = 0
0 + -4x = 8 + -51
-4x = 8 + -51

Combine like terms: 8 + -51 = -43
-4x = -43

Divide each side by '-4'.
x = 10.75

Simplifying
x = 10.75

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