2(x-6)+(-x+1)=-5(2+x)

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Solution for 2(x-6)+(-x+1)=-5(2+x) equation:


Simplifying
2(x + -6) + (-1x + 1) = -5(2 + x)

Reorder the terms:
2(-6 + x) + (-1x + 1) = -5(2 + x)
(-6 * 2 + x * 2) + (-1x + 1) = -5(2 + x)
(-12 + 2x) + (-1x + 1) = -5(2 + x)

Reorder the terms:
-12 + 2x + (1 + -1x) = -5(2 + x)

Remove parenthesis around (1 + -1x)
-12 + 2x + 1 + -1x = -5(2 + x)

Reorder the terms:
-12 + 1 + 2x + -1x = -5(2 + x)

Combine like terms: -12 + 1 = -11
-11 + 2x + -1x = -5(2 + x)

Combine like terms: 2x + -1x = 1x
-11 + 1x = -5(2 + x)
-11 + 1x = (2 * -5 + x * -5)
-11 + 1x = (-10 + -5x)

Solving
-11 + 1x = -10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-11 + 1x + 5x = -10 + -5x + 5x

Combine like terms: 1x + 5x = 6x
-11 + 6x = -10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-11 + 6x = -10 + 0
-11 + 6x = -10

Add '11' to each side of the equation.
-11 + 11 + 6x = -10 + 11

Combine like terms: -11 + 11 = 0
0 + 6x = -10 + 11
6x = -10 + 11

Combine like terms: -10 + 11 = 1
6x = 1

Divide each side by '6'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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