10x-7x=-2(3-6x)-(x+10)

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Solution for 10x-7x=-2(3-6x)-(x+10) equation:


Simplifying
10x + -7x = -2(3 + -6x) + -1(x + 10)

Combine like terms: 10x + -7x = 3x
3x = -2(3 + -6x) + -1(x + 10)
3x = (3 * -2 + -6x * -2) + -1(x + 10)
3x = (-6 + 12x) + -1(x + 10)

Reorder the terms:
3x = -6 + 12x + -1(10 + x)
3x = -6 + 12x + (10 * -1 + x * -1)
3x = -6 + 12x + (-10 + -1x)

Reorder the terms:
3x = -6 + -10 + 12x + -1x

Combine like terms: -6 + -10 = -16
3x = -16 + 12x + -1x

Combine like terms: 12x + -1x = 11x
3x = -16 + 11x

Solving
3x = -16 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
3x + -11x = -16 + 11x + -11x

Combine like terms: 3x + -11x = -8x
-8x = -16 + 11x + -11x

Combine like terms: 11x + -11x = 0
-8x = -16 + 0
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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