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

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


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

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

Reorder the terms:
7x = -6(1 + x) + -2(x + -3)
7x = (1 * -6 + x * -6) + -2(x + -3)
7x = (-6 + -6x) + -2(x + -3)

Reorder the terms:
7x = -6 + -6x + -2(-3 + x)
7x = -6 + -6x + (-3 * -2 + x * -2)
7x = -6 + -6x + (6 + -2x)

Reorder the terms:
7x = -6 + 6 + -6x + -2x

Combine like terms: -6 + 6 = 0
7x = 0 + -6x + -2x
7x = -6x + -2x

Combine like terms: -6x + -2x = -8x
7x = -8x

Solving
7x = -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
7x + 8x = -8x + 8x

Combine like terms: 7x + 8x = 15x
15x = -8x + 8x

Combine like terms: -8x + 8x = 0
15x = 0

Divide each side by '15'.
x = 0

Simplifying
x = 0

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