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

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


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

Reorder the terms:
1 + -8(-1 + 2x) + -1x = 3(x + -2)
1 + (-1 * -8 + 2x * -8) + -1x = 3(x + -2)
1 + (8 + -16x) + -1x = 3(x + -2)

Combine like terms: 1 + 8 = 9
9 + -16x + -1x = 3(x + -2)

Combine like terms: -16x + -1x = -17x
9 + -17x = 3(x + -2)

Reorder the terms:
9 + -17x = 3(-2 + x)
9 + -17x = (-2 * 3 + x * 3)
9 + -17x = (-6 + 3x)

Solving
9 + -17x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + -17x + -3x = -6 + 3x + -3x

Combine like terms: -17x + -3x = -20x
9 + -20x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -20x = -6 + 0
9 + -20x = -6

Add '-9' to each side of the equation.
9 + -9 + -20x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -20x = -6 + -9
-20x = -6 + -9

Combine like terms: -6 + -9 = -15
-20x = -15

Divide each side by '-20'.
x = 0.75

Simplifying
x = 0.75

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