3x+6=3(x-1)-10x

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Solution for 3x+6=3(x-1)-10x equation:


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

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

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

Combine like terms: 3x + -10x = -7x
6 + 3x = -3 + -7x

Solving
6 + 3x = -3 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
6 + 3x + 7x = -3 + -7x + 7x

Combine like terms: 3x + 7x = 10x
6 + 10x = -3 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + 10x = -3 + 0
6 + 10x = -3

Add '-6' to each side of the equation.
6 + -6 + 10x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = -3 + -6
10x = -3 + -6

Combine like terms: -3 + -6 = -9
10x = -9

Divide each side by '10'.
x = -0.9

Simplifying
x = -0.9

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