-2(x-5)+10x-6=-x+2

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Solution for -2(x-5)+10x-6=-x+2 equation:


Simplifying
-2(x + -5) + 10x + -6 = -1x + 2

Reorder the terms:
-2(-5 + x) + 10x + -6 = -1x + 2
(-5 * -2 + x * -2) + 10x + -6 = -1x + 2
(10 + -2x) + 10x + -6 = -1x + 2

Reorder the terms:
10 + -6 + -2x + 10x = -1x + 2

Combine like terms: 10 + -6 = 4
4 + -2x + 10x = -1x + 2

Combine like terms: -2x + 10x = 8x
4 + 8x = -1x + 2

Reorder the terms:
4 + 8x = 2 + -1x

Solving
4 + 8x = 2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4 + 8x + x = 2 + -1x + x

Combine like terms: 8x + x = 9x
4 + 9x = 2 + -1x + x

Combine like terms: -1x + x = 0
4 + 9x = 2 + 0
4 + 9x = 2

Add '-4' to each side of the equation.
4 + -4 + 9x = 2 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = 2 + -4
9x = 2 + -4

Combine like terms: 2 + -4 = -2
9x = -2

Divide each side by '9'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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