3x+3=6-(6x+4)

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Solution for 3x+3=6-(6x+4) equation:


Simplifying
3x + 3 = 6 + -1(6x + 4)

Reorder the terms:
3 + 3x = 6 + -1(6x + 4)

Reorder the terms:
3 + 3x = 6 + -1(4 + 6x)
3 + 3x = 6 + (4 * -1 + 6x * -1)
3 + 3x = 6 + (-4 + -6x)

Combine like terms: 6 + -4 = 2
3 + 3x = 2 + -6x

Solving
3 + 3x = 2 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
3 + 3x + 6x = 2 + -6x + 6x

Combine like terms: 3x + 6x = 9x
3 + 9x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
3 + 9x = 2 + 0
3 + 9x = 2

Add '-3' to each side of the equation.
3 + -3 + 9x = 2 + -3

Combine like terms: 3 + -3 = 0
0 + 9x = 2 + -3
9x = 2 + -3

Combine like terms: 2 + -3 = -1
9x = -1

Divide each side by '9'.
x = -0.1111111111

Simplifying
x = -0.1111111111

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