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

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


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

Reorder the terms:
-2(-1 + 8x) + x = 3(x + 6)
(-1 * -2 + 8x * -2) + x = 3(x + 6)
(2 + -16x) + x = 3(x + 6)

Combine like terms: -16x + x = -15x
2 + -15x = 3(x + 6)

Reorder the terms:
2 + -15x = 3(6 + x)
2 + -15x = (6 * 3 + x * 3)
2 + -15x = (18 + 3x)

Solving
2 + -15x = 18 + 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.
2 + -15x + -3x = 18 + 3x + -3x

Combine like terms: -15x + -3x = -18x
2 + -18x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -18x = 18 + 0
2 + -18x = 18

Add '-2' to each side of the equation.
2 + -2 + -18x = 18 + -2

Combine like terms: 2 + -2 = 0
0 + -18x = 18 + -2
-18x = 18 + -2

Combine like terms: 18 + -2 = 16
-18x = 16

Divide each side by '-18'.
x = -0.8888888889

Simplifying
x = -0.8888888889

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